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315142311 = 311173118121
BaseRepresentation
bin10010110010001…
…011000010100111
3210221222212222110
4102302023002213
51121134023221
651134332103
710544444151
oct2262130247
9727885873
10315142311
111519870a0
128965a033
13503a0153
142dbd5ad1
151ca00776
hex12c8b0a7

315142311 has 32 divisors (see below), whose sum is σ = 501037056. Its totient is φ = 173952000.

The previous prime is 315142309. The next prime is 315142319. The reversal of 315142311 is 113241513.

It is not a de Polignac number, because 315142311 - 21 = 315142309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315142319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8331 + ... + 26451.

It is an arithmetic number, because the mean of its divisors is an integer number (15657408).

Almost surely, 2315142311 is an apocalyptic number.

315142311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

315142311 is a deficient number, since it is larger than the sum of its proper divisors (185894745).

315142311 is a wasteful number, since it uses less digits than its factorization.

315142311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18183.

The product of its digits is 360, while the sum is 21.

The square root of 315142311 is about 17752.2480548239. The cubic root of 315142311 is about 680.5116614758.

Adding to 315142311 its reverse (113241513), we get a palindrome (428383824).

The spelling of 315142311 in words is "three hundred fifteen million, one hundred forty-two thousand, three hundred eleven".

Divisors: 1 3 11 17 31 33 51 93 187 341 527 561 1023 1581 5797 17391 18121 54363 199331 308057 561751 597993 924171 1685253 3388627 6179261 9549767 10165881 18537783 28649301 105047437 315142311