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312131324322140 = 225671710771361573
BaseRepresentation
bin100011011111000011011110…
…0101101011010000101011100
31111221011110111122220110201112
41012332012330231122011130
5311402424423011302030
63023503052330201152
7122513513123020331
oct10676067455320534
91457143448813645
10312131324322140
1190500173373264
122b011184b831b8
1310521b1c16b99b
145711345732988
1526143ba9d9a95
hex11be1bcb5a15c

312131324322140 has 48 divisors (see below), whose sum is σ = 665263378940832. Its totient is φ = 122988249897216.

The previous prime is 312131324322107. The next prime is 312131324322163. The reversal of 312131324322140 is 41223423131213.

It is a junction number, because it is equal to n+sod(n) for n = 312131324322097 and 312131324322106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228562394 + ... + 229923966.

It is an arithmetic number, because the mean of its divisors is an integer number (13859653727934).

Almost surely, 2312131324322140 is an apocalyptic number.

It is an amenable number.

312131324322140 is an abundant number, since it is smaller than the sum of its proper divisors (353132054618692).

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

312131324322140 is a wasteful number, since it uses less digits than its factorization.

312131324322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532726 (or 1532724 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 312131324322140 its reverse (41223423131213), we get a palindrome (353354747453353).

The spelling of 312131324322140 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred twenty-four million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 171077 342154 684308 855385 1361573 1710770 2723146 3421540 5446292 6807865 11462159 13615730 22924318 27231460 45848636 57310795 91225391 114621590 182450782 229243180 364901564 456126955 912253910 1824507820 232933824121 465867648242 931735296484 1164669120605 2329338241210 4658676482420 15606566216107 31213132432214 62426264864428 78032831080535 156065662161070 312131324322140