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312131032122 = 237131573641201
BaseRepresentation
bin1001000101011000111…
…01011001010000111010
31002211122221121022101010
410202230131121100322
520103221021011442
6355220243134350
731356616666050
oct4425435312072
91084587538333
10312131032122
11110412915288
12505b00743b6
1323584180920
141117030c1d0
1581bc6b3b9c
hex48ac75943a

312131032122 has 64 divisors (see below), whose sum is σ = 773216527104. Its totient is φ = 81795916800.

The previous prime is 312131032019. The next prime is 312131032141. The reversal of 312131032122 is 221230131213.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1734879 + ... + 1906322.

It is an arithmetic number, because the mean of its divisors is an integer number (12081508236).

Almost surely, 2312131032122 is an apocalyptic number.

312131032122 is an abundant number, since it is smaller than the sum of its proper divisors (461085494982).

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

312131032122 is a wasteful number, since it uses less digits than its factorization.

312131032122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641383.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312131032122 its reverse (221230131213), we get a palindrome (533361163335).

Subtracting from 312131032122 its reverse (221230131213), we obtain a palindrome (90900900909).

The spelling of 312131032122 in words is "three hundred twelve billion, one hundred thirty-one million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 157 182 273 314 471 546 942 1099 2041 2198 3297 4082 6123 6594 12246 14287 28574 42861 85722 3641201 7282402 10923603 21847206 25488407 47335613 50976814 76465221 94671226 142006839 152930442 284013678 331349291 571668557 662698582 994047873 1143337114 1715005671 1988095746 3430011342 4001679899 7431691241 8003359798 12005039697 14863382482 22295073723 24010079394 44590147446 52021838687 104043677374 156065516061 312131032122