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313131123 = 3311597449
BaseRepresentation
bin10010101010100…
…000000001110011
3210211012201011000
4102222200001303
51120130143443
651023253043
710521366504
oct2252400163
9724181130
10313131123
11150833058
1288a4a183
134cb478b6
142d830bab
151c7548d3
hex12aa0073

313131123 has 8 divisors (see below), whose sum is σ = 463898000. Its totient is φ = 208754064.

The previous prime is 313131107. The next prime is 313131127. The reversal of 313131123 is 321131313.

It is a happy number.

It is not a de Polignac number, because 313131123 - 24 = 313131107 is a prime.

It is a super-2 number, since 2×3131311232 = 196102200382482258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313131096 and 313131105.

It is not an unprimeable number, because it can be changed into a prime (313131127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5798698 + ... + 5798751.

It is an arithmetic number, because the mean of its divisors is an integer number (57987250).

Almost surely, 2313131123 is an apocalyptic number.

313131123 is a deficient number, since it is larger than the sum of its proper divisors (150766877).

313131123 is a wasteful number, since it uses less digits than its factorization.

313131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597458 (or 11597452 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 313131123 is about 17695.5113800082. The cubic root of 313131123 is about 679.0609319901.

Adding to 313131123 its reverse (321131313), we get a palindrome (634262436).

The spelling of 313131123 in words is "three hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 27 11597449 34792347 104377041 313131123