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314101431 = 32717212897
BaseRepresentation
bin10010101110001…
…100111010110111
3210220001000011100
4102232030322313
51120402221211
651100141143
710532550420
oct2256147267
9726030140
10314101431
11151336066
12892377b3
13500c7447
142da04647
151c897156
hex12b8ceb7

314101431 has 24 divisors (see below), whose sum is σ = 518997024. Its totient is φ = 179320320.

The previous prime is 314101429. The next prime is 314101433. The reversal of 314101431 is 134101413.

It is an interprime number because it is at equal distance from previous prime (314101429) and next prime (314101433).

It is not a de Polignac number, because 314101431 - 21 = 314101429 is a prime.

It is a super-2 number, since 2×3141014312 = 197319417912495522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314101433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106975 + ... + 109871.

It is an arithmetic number, because the mean of its divisors is an integer number (21624876).

Almost surely, 2314101431 is an apocalyptic number.

314101431 is a deficient number, since it is larger than the sum of its proper divisors (204895593).

314101431 is a wasteful number, since it uses less digits than its factorization.

314101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 314101431 is about 17722.9069568172. The cubic root of 314101431 is about 679.7616169893.

Subtracting from 314101431 its sum of digits (18), we obtain a palindrome (314101413).

Adding to 314101431 its reverse (134101413), we get a palindrome (448202844).

The spelling of 314101431 in words is "three hundred fourteen million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 1721 2897 5163 8691 12047 15489 20279 26073 36141 60837 108423 182511 4985737 14957211 34900159 44871633 104700477 314101431