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313120023000 = 23353432427287
BaseRepresentation
bin1001000111001110110…
…10000110000111011000
31002221012212120020210220
410203213122012013120
520112232211214000
6355502332440040
731423256165301
oct4434732060730
91087185506726
10313120023000
111108800a9814
1250827319020
13236b1034b25
14112257d17a8
15822941d1a0
hex48e76861d8

313120023000 has 128 divisors (see below), whose sum is σ = 999654289920. Its totient is φ = 81556809600.

The previous prime is 313120022987. The next prime is 313120023019. The reversal of 313120023000 is 320021313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 1084644 + ... + 1342643.

It is an arithmetic number, because the mean of its divisors is an integer number (7809799140).

Almost surely, 2313120023000 is an apocalyptic number.

313120023000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313120023000 is an abundant number, since it is smaller than the sum of its proper divisors (686534266920).

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

313120023000 is a wasteful number, since it uses less digits than its factorization.

313120023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427354 (or 2427340 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 313120023000 its reverse (320021313), we get a palindrome (313440044313).

The spelling of 313120023000 in words is "three hundred thirteen billion, one hundred twenty million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 129000 2427287 4854574 7281861 9709148 12136435 14563722 19418296 24272870 29127444 36409305 48545740 58254888 60682175 72818610 97091480 104373341 121364350 145637220 182046525 208746682 242728700 291274440 303410875 313120023 364093050 417493364 485457400 521866705 606821750 626240046 728186100 834986728 910232625 1043733410 1213643500 1252480092 1456372200 1565600115 1820465250 2087466820 2427287000 2504960184 2609333525 3131200230 3640930500 4174933640 5218667050 6262400460 7281861000 7828000575 10437334100 12524800920 13046667625 15656001150 20874668200 26093335250 31312002300 39140002875 52186670500 62624004600 78280005750 104373341000 156560011500 313120023000