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313012113210 = 23354328395267
BaseRepresentation
bin1001000111000001111…
…10011100111100111010
31002220221100111212102000
410203200332130330322
520112022100110320
6355443515521430
731420506030426
oct4434076347472
91086840455360
10313012113210
111108251a5575
12507b7159276
1323694881c94
1411215341b86
15821ec04c90
hex48e0f9cf3a

313012113210 has 128 divisors (see below), whose sum is σ = 857137628160. Its totient is φ = 81239796288.

The previous prime is 313012113203. The next prime is 313012113221. The reversal of 313012113210 is 12311210313.

313012113210 is a `hidden beast` number, since 3 + 130 + 1 + 211 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3237997 + ... + 3333263.

It is an arithmetic number, because the mean of its divisors is an integer number (6696387720).

Almost surely, 2313012113210 is an apocalyptic number.

313012113210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313012113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428568814080).

313012113210 is an abundant number, since it is smaller than the sum of its proper divisors (544125514950).

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

313012113210 is a wasteful number, since it uses less digits than its factorization.

313012113210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95609 (or 95603 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313012113210 its reverse (12311210313), we get a palindrome (325323323523).

The spelling of 313012113210 in words is "three hundred thirteen billion, twelve million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 283 387 430 566 645 774 849 1161 1290 1415 1698 1935 2322 2547 2830 3870 4245 5094 5805 7641 8490 11610 12169 12735 15282 24338 25470 36507 38205 60845 73014 76410 95267 109521 121690 182535 190534 219042 285801 328563 365070 476335 547605 571602 657126 857403 952670 1095210 1429005 1642815 1714806 2572209 2858010 3285630 4096481 4287015 5144418 8192962 8574030 12289443 12861045 20482405 24578886 25722090 26960561 36868329 40964810 53921122 61447215 73736658 80881683 110604987 122894430 134802805 161763366 184341645 221209974 242645049 269605610 368683290 404408415 485290098 553024935 727935147 808816830 1106049870 1159304123 1213225245 1455870294 2318608246 2426450490 3477912369 3639675735 5796520615 6955824738 7279351470 10433737107 11593041230 17389561845 20867474214 31301211321 34779123690 52168685535 62602422642 104337371070 156506056605 313012113210