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315141921 = 346163781
BaseRepresentation
bin10010110010001…
…010111100100001
3210221222212110000
4102302022330201
51121134020141
651134330213
710544443053
oct2262127441
9727885400
10315141921
11151986876
1289659969
135039cc13
142dbd58d3
151ca005b6
hex12c8af21

315141921 has 20 divisors (see below), whose sum is σ = 478492564. Its totient is φ = 206647200.

The previous prime is 315141901. The next prime is 315141941. The reversal of 315141921 is 129141513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315141901) and next prime (315141941).

It can be written as a sum of positive squares in 2 ways, for example, as 69906321 + 245235600 = 8361^2 + 15660^2 .

It is not a de Polignac number, because 315141921 - 213 = 315133729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315141901) 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 19 ways as a sum of consecutive naturals, for example, 26950 + ... + 36831.

Almost surely, 2315141921 is an apocalyptic number.

It is an amenable number.

315141921 is a deficient number, since it is larger than the sum of its proper divisors (163350643).

315141921 is an equidigital number, since it uses as much as digits as its factorization.

315141921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63854 (or 63845 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 315141921 is about 17752.2370702962. The cubic root of 315141921 is about 680.5113807564.

The spelling of 315141921 in words is "three hundred fifteen million, one hundred forty-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 63781 191343 574029 1722087 3890641 5166261 11671923 35015769 105047307 315141921