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312314421241122 = 232979173131331709
BaseRepresentation
bin100011100000011000101111…
…0001000101110010100100010
31111221210222010000001200011020
41013000301132020232110202
5311413424413314203442
63024123133040430310
7122532654335113626
oct10700613610562442
91457728100050136
10312314421241122
1190570890852513
122b040763918396
131053617b59ca71
14571a154963186
15261903502d9ec
hex11c0c5e22e522

312314421241122 has 64 divisors (see below), whose sum is σ = 658129465152000. Its totient is φ = 98668986893568.

The previous prime is 312314421241111. The next prime is 312314421241133. The reversal of 312314421241122 is 221142124413213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312314421241111) and next prime (312314421241133).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63287797 + ... + 68043912.

It is an arithmetic number, because the mean of its divisors is an integer number (10283272893000).

Almost surely, 2312314421241122 is an apocalyptic number.

312314421241122 is an abundant number, since it is smaller than the sum of its proper divisors (345815043910878).

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

312314421241122 is a wasteful number, since it uses less digits than its factorization.

312314421241122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131331995.

The product of its digits is 18432, while the sum is 33.

Adding to 312314421241122 its reverse (221142124413213), we get a palindrome (533456545654335).

The spelling of 312314421241122 in words is "three hundred twelve trillion, three hundred fourteen billion, four hundred twenty-one million, two hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 29 58 79 87 158 173 174 237 346 474 519 1038 2291 4582 5017 6873 10034 13667 13746 15051 27334 30102 41001 82002 396343 792686 1189029 2378058 131331709 262663418 393995127 787990254 3808619561 7617239122 10375205011 11425858683 20750410022 22720385657 22851717366 31125615033 45440771314 62251230066 68161156971 136322313942 300880945319 601761890638 658891184053 902642835957 1317782368106 1794910466903 1805285671914 1976673552159 3589820933806 3953347104318 5384731400709 10769462801418 52052403540187 104104807080374 156157210620561 312314421241122