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313760317122 = 2347262872
BaseRepresentation
bin1001001000011011001…
…00100111111011000010
31002222212111101120020000
410210031210213323002
520120040120121442
6400050044300430
731445162456100
oct4441544477302
91088774346200
10313760317122
1111107957920a
1250985841716
132378389b0a5
1411286866c70
158265749d4c
hex490d927ec2

313760317122 has 90 divisors (see below), whose sum is σ = 817970205987. Its totient is φ = 89631545976.

The previous prime is 313760317111. The next prime is 313760317147. The reversal of 313760317122 is 221713067313.

313760317122 is a `hidden beast` number, since 3 + 1 + 37 + 603 + 1 + 7 + 12 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156880158561 + 156880158561 = 396081^2 + 396081^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=396081.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49903063 + ... + 49909349.

Almost surely, 2313760317122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313760317122

313760317122 is an abundant number, since it is smaller than the sum of its proper divisors (504209888865).

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

313760317122 is an frugal number, since it uses more digits than its factorization.

313760317122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12602 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 313760317122 in words is "three hundred thirteen billion, seven hundred sixty million, three hundred seventeen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 6287 7938 12574 18861 37722 44009 56583 88018 113166 132027 169749 264054 308063 339498 396081 509247 616126 792162 924189 1018494 1188243 1848378 2376486 2772567 3564729 5545134 7129458 8317701 16635402 24953103 39526369 49906206 79052738 118579107 237158214 276684583 355737321 553369166 711474642 830053749 1067211963 1660107498 1936792081 2134423926 2490161247 3201635889 3873584162 4980322494 5810376243 6403271778 7470483741 11620752486 14940967482 17431128729 22411451223 34862257458 44822902446 52293386187 104586772374 156880158561 313760317122