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21102212032 = 261153797159
BaseRepresentation
bin10011101001110010…
…100011001111000000
32000110122112102220121
4103221302203033000
5321204131241112
613405541350024
71344634562026
oct235162431700
960418472817
1021102212032
118a49715260
12410b108314
131cb3b513c5
14104283c716
158378dc407
hex4e9ca33c0

21102212032 has 112 divisors (see below), whose sum is σ = 47139148800. Its totient is φ = 9290511360.

The previous prime is 21102211997. The next prime is 21102212051. The reversal of 21102212032 is 23021220112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21102211997 and 21102212015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944069 + ... + 2951227.

Almost surely, 221102212032 is an apocalyptic number.

21102212032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569574400).

21102212032 is an abundant number, since it is smaller than the sum of its proper divisors (26036936768).

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

21102212032 is a wasteful number, since it uses less digits than its factorization.

21102212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21102212032 its reverse (23021220112), we get a palindrome (44123432144).

The spelling of 21102212032 in words is "twenty-one billion, one hundred two million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 79 88 106 158 176 212 316 352 424 583 632 704 848 869 1166 1264 1696 1738 2332 2528 3392 3476 4187 4664 5056 6952 7159 8374 9328 13904 14318 16748 18656 27808 28636 33496 37312 46057 55616 57272 66992 78749 92114 114544 133984 157498 184228 229088 267968 314996 368456 379427 458176 565561 629992 736912 758854 1131122 1259984 1473824 1517708 2262244 2519968 2947648 3035416 4173697 4524488 5039936 6070832 6221171 8347394 9048976 12141664 12442342 16694788 18097952 24283328 24884684 29974733 33389576 36195904 49769368 59949466 66779152 99538736 119898932 133558304 199077472 239797864 267116608 329722063 398154944 479595728 659444126 959191456 1318888252 1918382912 2637776504 5275553008 10551106016 21102212032