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312060350112 = 25372916012949
BaseRepresentation
bin1001000101010000011…
…11110000111010100000
31002211111000121021212220
410202220033300322200
520103044422200422
6355205240151040
731355101132050
oct4425017607240
91084430537786
10312060350112
11110386a288a5
1250590468480
1323572633854
1411164b8d560
1581b63a0e5c
hex48a83f0ea0

312060350112 has 96 divisors (see below), whose sum is σ = 968463216000. Its totient is φ = 86085608448.

The previous prime is 312060350101. The next prime is 312060350123. The reversal of 312060350112 is 211053060213.

It is an interprime number because it is at equal distance from previous prime (312060350101) and next prime (312060350123).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3120603501122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7986987 + ... + 8025962.

It is an arithmetic number, because the mean of its divisors is an integer number (10088158500).

Almost surely, 2312060350112 is an apocalyptic number.

312060350112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312060350112 is an abundant number, since it is smaller than the sum of its proper divisors (656402865888).

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

312060350112 is a wasteful number, since it uses less digits than its factorization.

312060350112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16012998 (or 16012990 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 312060350112 in words is "three hundred twelve billion, sixty million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 16012949 32025898 48038847 64051796 96077694 112090643 128103592 192155388 224181286 256207184 336271929 384310776 448362572 464375521 512414368 672543858 768621552 896725144 928751042 1345087716 1393126563 1537243104 1793450288 1857502084 2690175432 2786253126 3250628647 3586900576 3715004168 5380350864 5572506252 6501257294 7430008336 9751885941 10760701728 11145012504 13002514588 14860016672 19503771882 22290025008 26005029176 39007543764 44580050016 52010058352 78015087528 104020116704 156030175056 312060350112