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313024025 = 5242129741
BaseRepresentation
bin10010101010000…
…101111000011001
3210211000021020102
4102222011320121
51120113232100
651021105145
710520442326
oct2252057031
9724007212
10313024025
1115076a646
12889b81b5
134cb0ac22
142d803b4d
151c732cd5
hex12a85e19

313024025 has 12 divisors (see below), whose sum is σ = 389084844. Its totient is φ = 249816000.

The previous prime is 313024013. The next prime is 313024037. The reversal of 313024025 is 520420313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313024013) and next prime (313024037).

It can be written as a sum of positive squares in 6 ways, for example, as 23309584 + 289714441 = 4828^2 + 17021^2 .

It is not a de Polignac number, because 313024025 - 210 = 313023001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313023988 and 313024006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4346 + ... + 25395.

It is an arithmetic number, because the mean of its divisors is an integer number (32423737).

Almost surely, 2313024025 is an apocalyptic number.

It is an amenable number.

313024025 is a deficient number, since it is larger than the sum of its proper divisors (76060819).

313024025 is a wasteful number, since it uses less digits than its factorization.

313024025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30172 (or 30167 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 313024025 is about 17692.4849865699. The cubic root of 313024025 is about 678.9835050431.

Adding to 313024025 its reverse (520420313), we get a palindrome (833444338).

The spelling of 313024025 in words is "three hundred thirteen million, twenty-four thousand, twenty-five".

Divisors: 1 5 25 421 2105 10525 29741 148705 743525 12520961 62604805 313024025