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100730045272 = 2337271281461
BaseRepresentation
bin101110111001111111…
…0101000001101011000
3100122000001100111002111
41131303332220031120
53122243342422042
6114135202242104
710164120154243
oct1356376501530
9318001314074
10100730045272
11397a05369aa
1217632356334
139663b3b5ac
144c37dba25a
152948394517
hex1773fa8358

100730045272 has 96 divisors (see below), whose sum is σ = 197974355040. Its totient is φ = 48037248000.

The previous prime is 100730045263. The next prime is 100730045279. The reversal of 100730045272 is 272540037001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100730045279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218503122 + ... + 218503582.

It is an arithmetic number, because the mean of its divisors is an integer number (2062232865).

Almost surely, 2100730045272 is an apocalyptic number.

It is an amenable number.

100730045272 is a deficient number, since it is larger than the sum of its proper divisors (97244309768).

100730045272 is a wasteful number, since it uses less digits than its factorization.

100730045272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The spelling of 100730045272 in words is "one hundred billion, seven hundred thirty million, forty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 8 37 71 74 142 148 281 284 296 461 562 568 922 1124 1369 1844 2248 2627 2738 3688 5254 5476 10397 10508 10952 17057 19951 20794 21016 32731 34114 39902 41588 65462 68228 79804 83176 97199 129541 130924 136456 159608 194398 259082 261848 384689 388796 518164 631109 738187 769378 777592 1036328 1211047 1262218 1476374 1538756 2422094 2524436 2952748 3077512 4793017 4844188 5048872 5905496 9197411 9586034 9688376 18394822 19172068 27312919 36789644 38344136 44808739 54625838 73579288 89617478 109251676 177341629 179234956 218503352 340304207 354683258 358469912 680608414 709366516 1361216828 1418733032 2722433656 12591255659 25182511318 50365022636 100730045272