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10312113203031 = 33124383182999
BaseRepresentation
bin1001011000001111100111…
…0110000010011101010111
31100111211100220021202021210
42112003321312002131113
52322423201434444111
633533152554112503
72113011530655453
oct226037166023527
940454326252253
1010312113203031
113316385081012
1211a6681a1b733
1359a574705b93
14279174d19663
1512d395c840a6
hex960f9d82757

10312113203031 has 24 divisors (see below), whose sum is σ = 14537726544000. Its totient is φ = 6498255803760.

The previous prime is 10312113203003. The next prime is 10312113203087. The reversal of 10312113203031 is 13030231121301.

It is a happy number.

It is not a de Polignac number, because 10312113203031 - 25 = 10312113202999 is a prime.

It is a super-2 number, since 2×103121132030312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10312113202989 and 10312113203007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312113203131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41467531 + ... + 41715468.

It is an arithmetic number, because the mean of its divisors is an integer number (605738606000).

Almost surely, 210312113203031 is an apocalyptic number.

10312113203031 is a deficient number, since it is larger than the sum of its proper divisors (4225613340969).

10312113203031 is an equidigital number, since it uses as much as digits as its factorization.

10312113203031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83183107 (or 83183076 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10312113203031 its reverse (13030231121301), we get a palindrome (23342344324332).

The spelling of 10312113203031 in words is "ten trillion, three hundred twelve billion, one hundred thirteen million, two hundred three thousand, thirty-one".

Divisors: 1 3 31 43 93 129 961 1333 2883 3999 41323 123969 83182999 249548997 2578672969 3576868957 7736018907 10730606871 79938862039 110882937667 239816586117 332648813001 3437371067677 10312113203031