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100102554336 = 25331241139571
BaseRepresentation
bin101110100111010010…
…0111100001011100000
3100120101022121122100110
41131032210330023200
53120002223214321
6113553025051320
710142430446511
oct1351644741340
9316338548313
10100102554336
11394a9311754
1217498186b40
139593b38a95
144bb8918a08
15290d246176
hex174e93c2e0

100102554336 has 96 divisors (see below), whose sum is σ = 272373083136. Its totient is φ = 32156928000.

The previous prime is 100102554319. The next prime is 100102554353. The reversal of 100102554336 is 633455201001.

It is an interprime number because it is at equal distance from previous prime (100102554319) and next prime (100102554353).

It is a tau number, because it is divible by the number of its divisors (96).

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, 647431 + ... + 787001.

It is an arithmetic number, because the mean of its divisors is an integer number (2837219616).

Almost surely, 2100102554336 is an apocalyptic number.

100102554336 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 100102554336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136186541568).

100102554336 is an abundant number, since it is smaller than the sum of its proper divisors (172270528800).

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

100102554336 is a wasteful number, since it uses less digits than its factorization.

100102554336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139856 (or 139848 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 100102554336 its reverse (633455201001), we get a palindrome (733557755337).

The spelling of 100102554336 in words is "one hundred billion, one hundred two million, five hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 241 248 372 482 496 723 744 964 992 1446 1488 1928 2892 2976 3856 5784 7471 7712 11568 14942 22413 23136 29884 44826 59768 89652 119536 139571 179304 239072 279142 358608 418713 558284 717216 837426 1116568 1674852 2233136 3349704 4326701 4466272 6699408 8653402 12980103 13398816 17306804 25960206 33636611 34613608 51920412 67273222 69227216 100909833 103840824 134546444 138454432 201819666 207681648 269092888 403639332 415363296 538185776 807278664 1042734941 1076371552 1614557328 2085469882 3128204823 3229114656 4170939764 6256409646 8341879528 12512819292 16683759056 25025638584 33367518112 50051277168 100102554336