Search a number
-
+
202102120121022 = 233112317209859609
BaseRepresentation
bin101101111100111110010001…
…000101000000001010111110
3222111120202220020111120002000
4231330332101011000022332
5202442220120222333042
61553500233211043130
760366252640450122
oct5574762105001276
9874522806446060
10202102120121022
115943a034020570
121a8008b31404a6
1388a01c0647064
1437c9b1ad3b582
15185721749574c
hexb7cf911402be

202102120121022 has 128 divisors (see below), whose sum is σ = 511276772736000. Its totient is φ = 58576852477440.

The previous prime is 202102120120951. The next prime is 202102120121093. The reversal of 202102120121022 is 220121021201202.

It is a happy number.

202102120121022 is a `hidden beast` number, since 2 + 0 + 210 + 21 + 201 + 210 + 22 = 666.

202102120121022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202102120120951) and next prime (202102120121093).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202102120120986 and 202102120121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234679554 + ... + 235539162.

It is an arithmetic number, because the mean of its divisors is an integer number (3994349787000).

Almost surely, 2202102120121022 is an apocalyptic number.

202102120121022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202102120121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255638386368000).

202102120121022 is an abundant number, since it is smaller than the sum of its proper divisors (309174652614978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202102120121022 is a wasteful number, since it uses less digits than its factorization.

202102120121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876863 (or 876857 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202102120121022 its reverse (220121021201202), we get a palindrome (422223141322224).

The spelling of 202102120121022 in words is "two hundred two trillion, one hundred two billion, one hundred twenty million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 17209 34418 51627 103254 154881 189299 309762 378598 395807 464643 567897 791614 859609 929286 1135794 1187421 1703691 1719218 2374842 2578827 3407382 3562263 4353877 5111073 5157654 7124526 7736481 8707754 9455699 10222146 10686789 13061631 15472962 18911398 19771007 21373578 23209443 26123262 28367097 39184893 39542014 46418886 56734194 59313021 78369786 85101291 117554679 118626042 170202582 177939063 217481077 235109358 255303873 355878126 434962154 510607746 533817189 652443231 1067634378 1304886462 1957329693 3914659386 5871989079 11743978158 14793011281 29586022562 44379033843 88758067686 133137101529 162723124091 266274203058 325446248182 340239259463 399411304587 488169372273 680478518926 798822609174 976338744546 1020717778389 1464508116819 2041435556778 2929016233638 3062153335167 3742631854093 4393524350457 6124306670334 7485263708186 8787048700914 9186460005501 11227895562279 18372920011002 22455791124558 33683686686837 67367373373674 101051060060511 202102120121022