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10022137173372 = 22367107129190239
BaseRepresentation
bin1001000111010111010111…
…1011010001010101111100
31022111002212222020011210110
42101311311323101111330
52303200314104021442
633152034541310020
72053034621251332
oct221656573212574
938432788204713
1010022137173372
113214401181025
12115a435565310
1357911153808c
142691071b9b52
15125a7361a69c
hex91d75ed157c

10022137173372 has 96 divisors (see below), whose sum is σ = 23974651330560. Its totient is φ = 3257534047680.

The previous prime is 10022137173343. The next prime is 10022137173457. The reversal of 10022137173372 is 27337173122001.

It is a self number, because there is not a number n which added to its sum of digits gives 10022137173372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111017029 + ... + 111107267.

It is an arithmetic number, because the mean of its divisors is an integer number (249735951360).

Almost surely, 210022137173372 is an apocalyptic number.

10022137173372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022137173372 is an abundant number, since it is smaller than the sum of its proper divisors (13952514157188).

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

10022137173372 is a wasteful number, since it uses less digits than its factorization.

10022137173372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91711 (or 91709 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The spelling of 10022137173372 in words is "ten trillion, twenty-two billion, one hundred thirty-seven million, one hundred seventy-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 67 107 134 201 214 268 321 402 428 642 804 1284 1291 2582 3873 5164 7169 7746 14338 15492 21507 28676 43014 86028 86497 90239 138137 172994 180478 259491 270717 276274 345988 360956 414411 518982 541434 552548 828822 1037964 1082868 1657644 6046013 9255179 9655573 12092026 18138039 18510358 19311146 24184052 27765537 28966719 36276078 37020716 38622292 55531074 57933438 72552156 111062148 115866876 116498549 232997098 349495647 465994196 646923391 698991294 1293846782 1397982588 1940770173 2587693564 3881540346 7763080692 7805402783 12465344743 15610805566 23416208349 24930689486 31221611132 37396034229 46832416698 49861378972 74792068458 93664833396 149584136916 835178097781 1670356195562 2505534293343 3340712391124 5011068586686 10022137173372