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312130200031 = 13503244719507
BaseRepresentation
bin1001000101011000110…
…10001110000111011111
31002211122220001000221221
410202230122032013133
520103220312400111
6355220213234211
731356606632116
oct4425432160737
91084586030857
10312130200031
111104123a7101
12505ab932967
1323583c4bc70
1411170172c7d
1581bc59c371
hex48ac68e1df

312130200031 has 16 divisors (see below), whose sum is σ = 336963400704. Its totient is φ = 287415136224.

The previous prime is 312130200013. The next prime is 312130200037. The reversal of 312130200031 is 130002031213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312130200031 is a prime.

It is a super-2 number, since 2×3121302000312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312130199978 and 312130200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312130200037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15991180 + ... + 16010686.

It is an arithmetic number, because the mean of its divisors is an integer number (21060212544).

Almost surely, 2312130200031 is an apocalyptic number.

312130200031 is a deficient number, since it is larger than the sum of its proper divisors (24833200673).

312130200031 is a wasteful number, since it uses less digits than its factorization.

312130200031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22470.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312130200031 its reverse (130002031213), we get a palindrome (442132231244).

The spelling of 312130200031 in words is "three hundred twelve billion, one hundred thirty million, two hundred thousand, thirty-one".

Divisors: 1 13 503 2447 6539 19507 31811 253591 1230841 9812021 16000933 47733629 127556273 620537177 24010015387 312130200031