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313431310025 = 5219364959857
BaseRepresentation
bin1001000111110011111…
…01100011111011001001
31002222000120022021022222
410203321331203323021
520113401403410100
6355553252423425
731434056114531
oct4437175437311
91088016267288
10313431310025
11110a1a892319
12508b3617b75
1323730685232
1411254ca24c1
15824690b485
hex48f9f63ec9

313431310025 has 12 divisors (see below), whose sum is σ = 390668586012. Its totient is φ = 249445847040.

The previous prime is 313431310021. The next prime is 313431310037. The reversal of 313431310025 is 520013134313.

It can be written as a sum of positive squares in 6 ways, for example, as 261242569 + 313170067456 = 16163^2 + 559616^2 .

It is not a de Polignac number, because 313431310025 - 22 = 313431310021 is a prime.

It is a super-2 number, since 2×3134313100252 (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 = 313431309976 and 313431310003.

It is not an unprimeable number, because it can be changed into a prime (313431310021) 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 11 ways as a sum of consecutive naturals, for example, 32475104 + ... + 32484753.

It is an arithmetic number, because the mean of its divisors is an integer number (32555715501).

Almost surely, 2313431310025 is an apocalyptic number.

It is an amenable number.

313431310025 is a deficient number, since it is larger than the sum of its proper divisors (77237275987).

313431310025 is a wasteful number, since it uses less digits than its factorization.

313431310025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64960060 (or 64960055 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 313431310025 its reverse (520013134313), we get a palindrome (833444444338).

The spelling of 313431310025 in words is "three hundred thirteen billion, four hundred thirty-one million, three hundred ten thousand, twenty-five".

Divisors: 1 5 25 193 965 4825 64959857 324799285 1623996425 12537252401 62686262005 313431310025