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102161136 = 243711131211
BaseRepresentation
bin1100001011011…
…01101011110000
321010020022201210
412011231223300
5202123124021
614045400120
72350232610
oct605555360
9233208653
10102161136
11527381a0
122a269040
131821c39c
14d7d4a40
158e7ee76
hex616daf0

102161136 has 160 divisors (see below), whose sum is σ = 333121536. Its totient is φ = 26208000.

The previous prime is 102161117. The next prime is 102161149. The reversal of 102161136 is 631161201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 484071 + ... + 484281.

Almost surely, 2102161136 is an apocalyptic number.

102161136 is a gapful number since it is divisible by the number (16) 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 102161136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166560768).

102161136 is an abundant number, since it is smaller than the sum of its proper divisors (230960400).

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

102161136 is a wasteful number, since it uses less digits than its factorization.

102161136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 102161136 is about 10107.4792109606. The cubic root of 102161136 is about 467.4787827217.

The spelling of 102161136 in words is "one hundred two million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 131 132 154 168 176 211 231 262 264 308 336 393 422 462 524 528 616 633 786 844 917 924 1048 1232 1266 1441 1477 1572 1688 1834 1848 2096 2321 2532 2751 2882 2954 3144 3376 3668 3696 4323 4431 4642 5064 5502 5764 5908 6288 6963 7336 8646 8862 9284 10087 10128 11004 11528 11816 13926 14672 16247 17292 17724 18568 20174 22008 23056 23632 27641 27852 30261 32494 34584 35448 37136 40348 44016 48741 55282 55704 60522 64988 69168 70896 80696 82923 97482 110564 111408 121044 129976 161392 165846 193487 194964 221128 242088 259952 304051 331692 386974 389928 442256 484176 580461 608102 663384 773948 779856 912153 1160922 1216204 1326768 1547896 1824306 2128357 2321844 2432408 3095792 3648612 4256714 4643688 4864816 6385071 7297224 8513428 9287376 12770142 14594448 17026856 25540284 34053712 51080568 102161136