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102099996912 = 243193719715359
BaseRepresentation
bin101111100010110100…
…0100101000011110000
3100202112112011020110010
41133011220211003300
53133100044400122
6114523141134520
710243063440324
oct1370550450360
9322475136403
10102099996912
113a333871941
12179550ba440
1398218c9074
144d27d09984
1529c87a0e0c
hex17c5a250f0

102099996912 has 160 divisors (see below), whose sum is σ = 286610227200. Its totient is φ = 31209421824.

The previous prime is 102099996883. The next prime is 102099996913. The reversal of 102099996912 is 219699990201.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102099996913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6639889 + ... + 6655247.

It is an arithmetic number, because the mean of its divisors is an integer number (1791313920).

Almost surely, 2102099996912 is an apocalyptic number.

102099996912 is a gapful number since it is divisible by the number (12) 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 102099996912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143305113600).

102099996912 is an abundant number, since it is smaller than the sum of its proper divisors (184510230288).

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

102099996912 is a wasteful number, since it uses less digits than its factorization.

102099996912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15623 (or 15617 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 57.

The spelling of 102099996912 in words is "one hundred two billion, ninety-nine million, nine hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 197 222 228 296 304 394 444 456 591 592 703 788 888 912 1182 1406 1576 1776 2109 2364 2812 3152 3743 4218 4728 5624 7289 7486 8436 9456 11229 11248 14578 14972 15359 16872 21867 22458 29156 29944 30718 33744 43734 44916 46077 58312 59888 61436 87468 89832 92154 116624 122872 138491 174936 179664 184308 245744 276982 291821 349872 368616 415473 553964 568283 583642 737232 830946 875463 1107928 1136566 1167284 1661892 1704849 1750926 2215856 2273132 2334568 3025723 3323784 3409698 3501852 4546264 4669136 6051446 6647568 6819396 7003704 9077169 9092528 10797377 12102892 13638792 14007408 18154338 21594754 24205784 27277584 32392131 36308676 43189508 48411568 57488737 64784262 72617352 86379016 111951751 114977474 129568524 145234704 172466211 172758032 223903502 229954948 259137048 335855253 344932422 447807004 459909896 518274096 671710506 689864844 895614008 919819792 1343421012 1379729688 1791228016 2127083269 2686842024 2759459376 4254166538 5373684048 6381249807 8508333076 12762499614 17016666152 25524999228 34033332304 51049998456 102099996912