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313100124320440 = 23553324647454921
BaseRepresentation
bin100011100110000110100110…
…1101100000111001010111000
31112001121002011000000120222001
41013030031031230013022320
5312014313023311223230
63025524113400310344
7122643510650104312
oct10714151554071270
91461532130016861
10313100124320440
1190844020748086
122b148a9a1723b4
13105922a457a252
1457461ac2007b2
15262e6bd0db0ca
hex11cc34db072b8

313100124320440 has 64 divisors (see below), whose sum is σ = 717771054836160. Its totient is φ = 122876381322240.

The previous prime is 313100124320371. The next prime is 313100124320453. The reversal of 313100124320440 is 44023421001313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313100124320399 and 313100124320408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688024180 + ... + 688479100.

It is an arithmetic number, because the mean of its divisors is an integer number (11215172731815).

Almost surely, 2313100124320440 is an apocalyptic number.

It is an amenable number.

313100124320440 is an abundant number, since it is smaller than the sum of its proper divisors (404670930515720).

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

313100124320440 is a wasteful number, since it uses less digits than its factorization.

313100124320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779632 (or 779628 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313100124320440 its reverse (44023421001313), we get a palindrome (357123545321753).

The spelling of 313100124320440 in words is "three hundred thirteen trillion, one hundred billion, one hundred twenty-four million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 324647 454921 649294 909842 1298588 1623235 1819684 2274605 2597176 3246470 3639368 4549210 6492940 9098420 12985880 17206291 18196840 24110813 34412582 48221626 68825164 86031455 96443252 120554065 137650328 172062910 192886504 241108130 344125820 482216260 688251640 964432520 147688737887 295377475774 590754951548 738443689435 1181509903096 1476887378870 2953774757740 5907549515480 7827503108011 15655006216022 31310012432044 39137515540055 62620024864088 78275031080110 156550062160220 313100124320440