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103501331037612 = 223267197307709519
BaseRepresentation
bin10111100010001001001000…
…000100011111110110101100
3111120110122000201101020022200
4113202021020010133312230
5102031231211221200422
61004043504410141500
730541503316666104
oct2742111004376654
9446418021336280
10103501331037612
112aa84739107632
12b737302421890
13459a1977a7c21
141b7b6c3a0c204
15be74919182ac
hex5e224811fdac

103501331037612 has 144 divisors (see below), whose sum is σ = 267750847203840. Its totient is φ = 33702808841856.

The previous prime is 103501331037589. The next prime is 103501331037653. The reversal of 103501331037612 is 216730133105301.

103501331037612 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 0 + 1 + 3 + 3 + 1 + 0 + 37 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145520589 + ... + 146230107.

It is an arithmetic number, because the mean of its divisors is an integer number (1859380883360).

Almost surely, 2103501331037612 is an apocalyptic number.

103501331037612 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 103501331037612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133875423601920).

103501331037612 is an abundant number, since it is smaller than the sum of its proper divisors (164249516166228).

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

103501331037612 is a wasteful number, since it uses less digits than its factorization.

103501331037612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710100 (or 710095 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 103501331037612 in words is "one hundred three trillion, five hundred one billion, three hundred thirty-one million, thirty-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 197 201 268 307 394 402 591 603 614 788 804 921 1182 1206 1228 1773 1842 2364 2412 2763 3546 3684 5526 7092 11052 13199 20569 26398 39597 41138 52796 60479 61707 79194 82276 118791 120958 123414 158388 181437 185121 237582 241916 246828 362874 370242 475164 544311 709519 725748 740484 1088622 1419038 2128557 2177244 2838076 4052093 4257114 6385671 8104186 8514228 12156279 12771342 16208372 24312558 25542684 36468837 47537773 48625116 72937674 95075546 139775243 142613319 145875348 190151092 217822333 279550486 285226638 419325729 427839957 435644666 559100972 570453276 653466999 838651458 855679914 871289332 1257977187 1306933998 1677302916 1711359828 1960400997 2515954374 2613867996 3920801994 5031908748 7841603988 9364941281 14594096311 18729882562 28094823843 29188192622 37459765124 42910999601 43782288933 56189647686 58376385244 84284471529 85821999202 87564577866 112379295372 128732998803 131346866799 168568943058 171643998404 175129155732 257465997606 262693733598 337137886116 386198996409 514931995212 525387467196 772397992818 1544795985636 2875036973267 5750073946534 8625110919801 11500147893068 17250221839602 25875332759403 34500443679204 51750665518806 103501331037612