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21200120267088 = 24371721143175543
BaseRepresentation
bin1001101001000000010011…
…01000110100000101010000
32210001201012211110211001210
410310200021220310011100
510234320321242021323
6113031111212300120
74315441513000560
oct464401150640520
983051184424053
1021200120267088
116833a14228614
122464885471640
13baa21678a0a9
1453413c730da0
1526b6e53cb293
hex134809a34150

21200120267088 has 160 divisors (see below), whose sum is σ = 66276156911616. Its totient is φ = 5700570568704.

The previous prime is 21200120267087. The next prime is 21200120267099. The reversal of 21200120267088 is 88076202100212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200120267087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120681045 + ... + 120856587.

Almost surely, 221200120267088 is an apocalyptic number.

21200120267088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21200120267088 is an abundant number, since it is smaller than the sum of its proper divisors (45076036644528).

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

21200120267088 is a wasteful number, since it uses less digits than its factorization.

21200120267088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196721 (or 196715 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 21200120267088 in words is "twenty-one trillion, two hundred billion, one hundred twenty million, two hundred sixty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 21143 42286 63429 84572 126858 148001 169144 175543 253716 296002 338288 351086 359431 444003 507432 526629 592004 702172 718862 888006 1014864 1053258 1078293 1184008 1228801 1404344 1437724 1776012 2106516 2156586 2368016 2457602 2516017 2808688 2875448 2984231 3552024 3686403 4213032 4313172 4915204 5032034 5750896 5968462 7104048 7372806 7548051 8426064 8626344 8952693 9830408 10064068 11936924 14745612 15096102 17252688 17905386 19660816 20128136 20889617 23873848 29491224 30192204 35810772 40256272 41779234 47747696 58982448 60384408 62668851 71621544 83558468 120768816 125337702 143243088 167116936 250675404 334233872 501350808 1002701616 3711505649 7423011298 11134516947 14846022596 22269033894 25980539543 29692045192 44538067788 51961079086 59384090384 63095596033 77941618629 89076135576 103922158172 126191192066 155883237258 178152271152 189286788099 207844316344 252382384132 311766474516 378573576198 415688632688 441669172231 504764768264 623532949032 757147152396 883338344462 1009529536528 1247065898064 1325007516693 1514294304792 1766676688924 2650015033386 3028588609584 3533353377848 5300030066772 7066706755696 10600060133544 21200120267088