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312131123404002 = 2337825743712709
BaseRepresentation
bin100011011111000011011000…
…0101110111101110011100010
31111221011102222122211202212000
41012332012300232331303202
5311402424020042412002
63023503020351544430
7122513505133160220
oct10676066056756342
91457142878752760
10312131123404002
119050007aa13511
122b01112982b116
1310521ab9652806
145711326b91b10
1526143a804d61c
hex11be1b0bbdce2

312131123404002 has 32 divisors (see below), whose sum is σ = 792713964201600. Its totient is φ = 89180320972464.

The previous prime is 312131123403959. The next prime is 312131123404069. The reversal of 312131123404002 is 200404321131213.

312131123404002 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 311 + 2 + 340 + 4 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 412871855977 + ... + 412871856732.

It is an arithmetic number, because the mean of its divisors is an integer number (24772311381300).

Almost surely, 2312131123404002 is an apocalyptic number.

312131123404002 is an abundant number, since it is smaller than the sum of its proper divisors (480582840797598).

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

312131123404002 is a wasteful number, since it uses less digits than its factorization.

312131123404002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825743712727 (or 825743712721 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312131123404002 its reverse (200404321131213), we get a palindrome (512535444535215).

The spelling of 312131123404002 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred twenty-three million, four hundred four thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 825743712709 1651487425418 2477231138127 4954462276254 5780205988963 7431693414381 11560411977926 14863386828762 17340617966889 22295080243143 34681235933778 44590160486286 52021853900667 104043707801334 156065561702001 312131123404002