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102053365820172 = 223313611191599713
BaseRepresentation
bin10111001101000100100110…
…100111100010101100001100
3111101100012120112100221011000
4113031010212213202230030
5101334020243122221142
61001014400302300300
730332053353503004
oct2715044647425414
9441305515327130
10102053365820172
112a576653530578
12b542761887690
1344c378b8664b0
141b2b5a3023004
15bbe99789714c
hex5cd1269e2b0c

102053365820172 has 96 divisors (see below), whose sum is σ = 289606394490560. Its totient is φ = 30886264535040.

The previous prime is 102053365820167. The next prime is 102053365820173. The reversal of 102053365820172 is 271028563350201.

102053365820172 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 53 + 3 + 6 + 582 + 0 + 17 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (102053365820173) 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, 595714213 + ... + 595885500.

Almost surely, 2102053365820172 is an apocalyptic number.

102053365820172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102053365820172 is an abundant number, since it is smaller than the sum of its proper divisors (187553028670388).

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

102053365820172 is a wasteful number, since it uses less digits than its factorization.

102053365820172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191599800 (or 1191599792 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 102053365820172 in words is "one hundred two trillion, fifty-three billion, three hundred sixty-five million, eight hundred twenty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 183 234 244 351 366 468 549 702 732 793 1098 1404 1586 1647 2196 2379 3172 3294 4758 6588 7137 9516 14274 21411 28548 42822 85644 1191599713 2383199426 3574799139 4766398852 7149598278 10724397417 14299196556 15490796269 21448794834 30981592538 32173192251 42897589668 46472388807 61963185076 64346384502 72687582493 92944777614 128692769004 139417166421 145375164986 185889555228 218062747479 278834332842 290750329972 418251499263 436125494958 557668665684 654188242437 836502998526 872250989916 944938572409 1308376484874 1673005997052 1889877144818 1962564727311 2616752969748 2834815717227 3779754289636 3925129454622 5669631434454 7850258909244 8504447151681 11339262868908 17008894303362 25513341455043 34017788606724 51026682910086 102053365820172