Search a number
-
+
21121020212202 = 232101137829102293
BaseRepresentation
bin1001100110101100111101…
…11010000011001111101010
32202210011001012202200200100
410303112132322003033222
510232021322133242302
6112530510203450230
74306641366425631
oct463263672031752
982704035680610
1021121020212202
116803413316629
12245148ab26976
13ba291bc2c9a1
145303972da518
15269615e27d1c
hex13359ee833ea

21121020212202 has 96 divisors (see below), whose sum is σ = 46609250435280. Its totient is φ = 6911338521600.

The previous prime is 21121020212197. The next prime is 21121020212213. The reversal of 21121020212202 is 20221202012112.

It is a happy number.

21121020212202 is a `hidden beast` number, since 21 + 1 + 210 + 20 + 212 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13928652516321 + 7192367695881 = 3732111^2 + 2681859^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206424568 + ... + 206526860.

Almost surely, 221121020212202 is an apocalyptic number.

21121020212202 is an abundant number, since it is smaller than the sum of its proper divisors (25488230223078).

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

21121020212202 is a wasteful number, since it uses less digits than its factorization.

21121020212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103368 (or 103365 counting only the distinct ones).

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

Adding to 21121020212202 its reverse (20221202012112), we get a palindrome (41342222224314).

The spelling of 21121020212202 in words is "twenty-one trillion, one hundred twenty-one billion, twenty million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 101 137 202 274 303 411 606 822 829 909 1233 1658 1818 2466 2487 4974 7461 13837 14922 27674 41511 83022 83729 102293 113573 124533 167458 204586 227146 249066 251187 306879 340719 502374 613758 681438 753561 920637 1022157 1507122 1841274 2044314 10331593 11470873 14014141 20663186 22941746 28028282 30994779 34412619 42042423 61989558 68825238 84084846 84800897 92984337 103237857 126127269 169601794 185968674 206475714 252254538 254402691 508805382 763208073 1415428241 1526416146 2830856482 4246284723 8492569446 8564890597 11617722889 12738854169 17129781194 23235445778 25477708338 25694671791 34853168667 51389343582 69706337334 77084015373 104559506001 154168030746 209119012002 1173390011789 2346780023578 3520170035367 7040340070734 10560510106101 21121020212202