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312130111233132 = 22342024947575907
BaseRepresentation
bin100011011111000010111010…
…0011001110101110001101100
31111221011100101010021011110000
41012332011310121311301230
5311402414431433430012
63023502332113344300
7122513441062645563
oct10676056431656154
91457140333234400
10312130111233132
11904aa700637565
122b010aa6868090
1310521987a4393a
14571126c596bda
152614349265ddc
hex11be174675c6c

312130111233132 has 60 divisors (see below), whose sum is σ = 816010080039000. Its totient is φ = 104038230026304.

The previous prime is 312130111233119. The next prime is 312130111233137. The reversal of 312130111233132 is 231332111031213.

312130111233132 is a `hidden beast` number, since 3 + 1 + 21 + 301 + 1 + 1 + 2 + 331 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312130111233096 and 312130111233105.

It is not an unprimeable number, because it can be changed into a prime (312130111233137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17227278 + ... + 30348629.

It is an arithmetic number, because the mean of its divisors is an integer number (13600168000650).

Almost surely, 2312130111233132 is an apocalyptic number.

It is an amenable number.

312130111233132 is an abundant number, since it is smaller than the sum of its proper divisors (503879968805868).

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

312130111233132 is a wasteful number, since it uses less digits than its factorization.

312130111233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47596172 (or 47596161 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 312130111233132 its reverse (231332111031213), we get a palindrome (543462222264345).

The spelling of 312130111233132 in words is "three hundred twelve trillion, one hundred thirty billion, one hundred eleven million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 20249 40498 60747 80996 121494 182241 242988 364482 546723 728964 1093446 1640169 2186892 3280338 6560676 47575907 95151814 142727721 190303628 285455442 428183163 570910884 856366326 1284549489 1712732652 2569098978 3853648467 5138197956 7707296934 15414593868 963364540843 1926729081686 2890093622529 3853458163372 5780187245058 8670280867587 11560374490116 17340561735174 26010842602761 34681123470348 52021685205522 78032527808283 104043370411044 156065055616566 312130111233132