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312331103132031 = 3285274069831817
BaseRepresentation
bin100011100000100000100000…
…0011101000101100101111111
31111221212120011120222112102200
41013001001000131011211333
5311414213044400211111
63024134532235322543
7122534114616623244
oct10701010035054577
91457776146875380
10312331103132031
1190577971299015
122b043a3a5b0453
13105379096c4829
14571ac982b75cb
1526196ae81b256
hex11c104074597f

312331103132031 has 12 divisors (see below), whose sum is σ = 451197834670752. Its totient is φ = 208196316379296.

The previous prime is 312331103132029. The next prime is 312331103132033. The reversal of 312331103132031 is 130231301133213.

312331103132031 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 311 + 0 + 313 + 2 + 0 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (312331103132029) and next prime (312331103132033).

It is not a de Polignac number, because 312331103132031 - 21 = 312331103132029 is a prime.

It is a super-2 number, since 2×3123311031320312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312331103131986 and 312331103132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312331103132033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2034839166 + ... + 2034992651.

It is an arithmetic number, because the mean of its divisors is an integer number (37599819555896).

Almost surely, 2312331103132031 is an apocalyptic number.

312331103132031 is a deficient number, since it is larger than the sum of its proper divisors (138866731538721).

312331103132031 is a wasteful number, since it uses less digits than its factorization.

312331103132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069840350 (or 4069840347 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 312331103132031 its reverse (130231301133213), we get a palindrome (442562404265244).

The spelling of 312331103132031 in words is "three hundred twelve trillion, three hundred thirty-one billion, one hundred three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 9 8527 25581 76743 4069831817 12209495451 36628486353 34703455903559 104110367710677 312331103132031