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12313103221320 = 23351119490953079
BaseRepresentation
bin1011001100101101111000…
…1001001100001001001000
31121121010021100000202000220
42303023132021030021020
53103214213411040240
642104321142430040
72410410114332316
oct263133611141110
947533240022026
1012313103221320
113a17a59848230
12146a441432320
136b41750c0c95
14307d590790b6
1516545ab205d0
hexb32de24c248

12313103221320 has 128 divisors (see below), whose sum is σ = 42418346112000. Its totient is φ = 2827889729280.

The previous prime is 12313103221277. The next prime is 12313103221369. The reversal of 12313103221320 is 2312230131321.

It is a super-2 number, since 2×123131032213202 (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245451460 + ... + 245501619.

It is an arithmetic number, because the mean of its divisors is an integer number (331393329000).

Almost surely, 212313103221320 is an apocalyptic number.

12313103221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313103221320 is an abundant number, since it is smaller than the sum of its proper divisors (30105242890680).

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

12313103221320 is a wasteful number, since it uses less digits than its factorization.

12313103221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490953123 (or 490953119 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12313103221320 its reverse (2312230131321), we get a palindrome (14625333352641).

The spelling of 12313103221320 in words is "twelve trillion, three hundred thirteen billion, one hundred three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 490953079 981906158 1472859237 1963812316 2454765395 2945718474 3927624632 4909530790 5400483869 5891436948 7364296185 9328108501 9819061580 10800967738 11782873896 14728592370 16201451607 18656217002 19638123160 21601935476 27002419345 27984325503 29457184740 32402903214 37312434004 43203870952 46640542505 54004838690 55968651006 58914369480 64805806428 74624868008 81007258035 93281085010 102609193511 108009677380 111937302012 129611612856 139921627515 162014516070 186562170020 205218387022 216019354760 223874604024 279843255030 307827580533 324029032140 373124340040 410436774044 513045967555 559686510060 615655161066 648058064280 820873548088 1026091935110 1119373020120 1231310322132 1539137902665 2052183870220 2462620644264 3078275805330 4104367740440 6156551610660 12313103221320