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103056603312 = 24313179839883
BaseRepresentation
bin101111111111010100…
…1101111100010110000
3100212000012011212201210
41133332221233202300
53142024442301222
6115202112400120
710305560450265
oct1377651574260
9325005155653
10103056603312
113a784847443
1217b81546040
139944b51b60
144db8d9d26c
152a3275ed0c
hex17fea6f8b0

103056603312 has 160 divisors (see below), whose sum is σ = 303913548288. Its totient is φ = 29811068928.

The previous prime is 103056603281. The next prime is 103056603313. The reversal of 103056603312 is 213306650301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103056603312.

It is not an unprimeable number, because it can be changed into a prime (103056603313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10422723 + ... + 10432605.

Almost surely, 2103056603312 is an apocalyptic number.

103056603312 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 103056603312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151956774144).

103056603312 is an abundant number, since it is smaller than the sum of its proper divisors (200856944976).

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

103056603312 is a wasteful number, since it uses less digits than its factorization.

103056603312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 103056603312 in words is "one hundred three billion, fifty-six million, six hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 983 1326 1768 1966 2652 2949 3536 3932 5304 5898 7864 9883 10608 11796 12779 15728 16711 19766 23592 25558 29649 33422 38337 39532 47184 50133 51116 59298 66844 76674 79064 100266 102232 118596 128479 133688 153348 158128 168011 200532 204464 217243 237192 256958 267376 306696 336022 385437 401064 434486 474384 504033 513916 613392 651729 672044 770874 802128 868972 1008066 1027832 1303458 1344088 1541748 1737944 2016132 2055664 2184143 2606916 2688176 3083496 3475888 4032264 4368286 5213832 6166992 6552429 8064528 8736572 9714989 10427664 13104858 17473144 19429978 26209716 29144967 34946288 38859956 52419432 58289934 77719912 104838864 116579868 126294857 155439824 165154813 233159736 252589714 330309626 378884571 466319472 495464439 505179428 660619252 757769142 990928878 1010358856 1321238504 1515538284 1981857756 2020717712 2147012569 2642477008 3031076568 3963715512 4294025138 6062153136 6441037707 7927431024 8588050276 12882075414 17176100552 25764150828 34352201104 51528301656 103056603312