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312343300124200 = 23527179278430469
BaseRepresentation
bin100011100000100110001011…
…1011100111010111000101000
31111221220201122121202221020101
41013001030113130322320220
5311414413034312433300
63024144310423235144
7122535026102426212
oct10701142734727050
91457821577687211
10312343300124200
1190582060168834
122b0462832a8ab4
1310538b015cc567
14571b6d41335b2
152619b754eeb6a
hex11c131773ae28

312343300124200 has 96 divisors (see below), whose sum is σ = 745748170848000. Its totient is φ = 121618428422400.

The previous prime is 312343300124039. The next prime is 312343300124209. The reversal of 312343300124200 is 2421003343213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (312343300124209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 138093435 + ... + 140337034.

It is an arithmetic number, because the mean of its divisors is an integer number (7768210113000).

Almost surely, 2312343300124200 is an apocalyptic number.

It is an amenable number.

312343300124200 is an abundant number, since it is smaller than the sum of its proper divisors (433404870723800).

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

312343300124200 is a wasteful number, since it uses less digits than its factorization.

312343300124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278430635 (or 278430626 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312343300124200 its reverse (2421003343213), we get a palindrome (314764303467413).

The spelling of 312343300124200 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 79 100 142 158 200 284 316 355 395 568 632 710 790 1420 1580 1775 1975 2840 3160 3550 3950 5609 7100 7900 11218 14200 15800 22436 28045 44872 56090 112180 140225 224360 280450 560900 1121800 278430469 556860938 1113721876 1392152345 2227443752 2784304690 5568609380 6960761725 11137218760 13921523450 19768563299 21996007051 27843046900 39537126598 43992014102 55686093800 79074253196 87984028204 98842816495 109980035255 158148506392 175968056408 197685632990 219960070510 395371265980 439920141020 494214082475 549900176275 790742531960 879840282040 988428164950 1099800352550 1561716500621 1976856329900 2199600705100 3123433001242 3953712659800 4399201410200 6246866002484 7808582503105 12493732004968 15617165006210 31234330012420 39042912515525 62468660024840 78085825031050 156171650062100 312343300124200