Search a number
-
+
20022123203310 = 23543179433719993
BaseRepresentation
bin1001000110101110000111…
…00010101000101011101110
32121220002121012011200022010
410203113003202220223232
510111020302020001220
6110330011511102050
74134356610112614
oct443270342505356
977802535150263
1020022123203310
11641a375633138
1222b4508671926
13b23102811997
144d310c50d6b4
1524ac4c1ee1e0
hex1235c38a8aee

20022123203310 has 128 divisors (see below), whose sum is σ = 49459180193280. Its totient is φ = 5184475140096.

The previous prime is 20022123203281. The next prime is 20022123203321. The reversal of 20022123203310 is 1330232122002.

It is a happy number.

It is a super-2 number, since 2×200221232033102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

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, 1001446674 + ... + 1001466666.

It is an arithmetic number, because the mean of its divisors is an integer number (386399845260).

Almost surely, 220022123203310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022123203310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24729590096640).

20022123203310 is an abundant number, since it is smaller than the sum of its proper divisors (29437056989970).

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

20022123203310 is a wasteful number, since it uses less digits than its factorization.

20022123203310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24562.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20022123203310 its reverse (1330232122002), we get a palindrome (21352355325312).

The spelling of 20022123203310 in words is "twenty trillion, twenty-two billion, one hundred twenty-three million, two hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 179 215 258 358 430 537 645 895 1074 1290 1790 2685 4337 5370 7697 8674 13011 15394 19993 21685 23091 26022 38485 39986 43370 46182 59979 65055 76970 99965 115455 119958 130110 186491 199930 230910 299895 372982 559473 599790 776323 859699 932455 1118946 1552646 1719398 1864910 2328969 2579097 2797365 3578747 3881615 4298495 4657938 5158194 5594730 7157494 7763230 8596990 10736241 11644845 12895485 17893735 21472482 23289690 25790970 33381889 35787470 53681205 66763778 86709641 100145667 107362410 153886121 166909445 173419282 200291334 260128923 307772242 333818890 433548205 461658363 500728335 520257846 769430605 867096410 923316726 1001456670 1300644615 1538861210 2308291815 2601289230 3728514563 4616583630 7457029126 11185543689 15521025739 18642572815 22371087378 31042051478 37285145630 46563077217 55927718445 77605128695 93126154434 111855436890 155210257390 232815386085 465630772170 667404106777 1334808213554 2002212320331 3337020533885 4004424640662 6674041067770 10011061601655 20022123203310