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21102122211012 = 22322971990119927
BaseRepresentation
bin1001100110001001110000…
…11111111001011011000100
32202201100021011211202121100
410303010320133321123010
510231214121241223022
6112514103042020100
74305402155161353
oct463047037713304
982640234752540
1021102122211012
1167a63a5947627
122449896047630
13ba0bc995576b
1452d4c351399a
15268dabcda1ac
hex1331387f96c4

21102122211012 has 72 divisors (see below), whose sum is σ = 53367496949312. Its totient is φ = 7030610136000.

The previous prime is 21102122210969. The next prime is 21102122211043. The reversal of 21102122211012 is 21011222120112.

21102122211012 is a `hidden beast` number, since 211 + 0 + 212 + 221 + 10 + 12 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058961393 + ... + 1058981319.

Almost surely, 221102122211012 is an apocalyptic number.

It is an amenable number.

21102122211012 is an abundant number, since it is smaller than the sum of its proper divisors (32265374738300).

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

21102122211012 is a wasteful number, since it uses less digits than its factorization.

21102122211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32809 (or 32804 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21102122211012 its reverse (21011222120112), we get a palindrome (42113344331124).

The spelling of 21102122211012 in words is "twenty-one trillion, one hundred two billion, one hundred twenty-two million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2971 5942 8913 9901 11884 17826 19802 19927 26739 29703 35652 39604 39854 53478 59406 59781 79708 89109 106956 118812 119562 178218 179343 239124 356436 358686 717372 29415871 58831742 59203117 88247613 117663484 118406234 176495226 177609351 197297227 236812468 264742839 352990452 355218702 394594454 529485678 532828053 591891681 710437404 789188908 1058971356 1065656106 1183783362 1775675043 2131312212 2367566724 3551350086 7102700172 586170061417 1172340122834 1758510184251 2344680245668 3517020368502 5275530552753 7034040737004 10551061105506 21102122211012