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3121313441 = 171237148429
BaseRepresentation
bin1011101000001011…
…0111011010100001
322001112022011002112
42322002313122201
522343024012231
61233420325105
7140230504121
oct27202673241
98045264075
103121313441
111361999a94
127313a3795
133a987b23c
14218784c81
1513405892b
hexba0b76a1

3121313441 has 8 divisors (see below), whose sum is σ = 3307614120. Its totient is φ = 2935312128.

The previous prime is 3121313423. The next prime is 3121313467. The reversal of 3121313441 is 1443131213.

3121313441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 692795041 + 2428518400 = 26321^2 + 49280^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3121313441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3121303441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53186 + ... + 95243.

It is an arithmetic number, because the mean of its divisors is an integer number (413451765).

Almost surely, 23121313441 is an apocalyptic number.

It is an amenable number.

3121313441 is a deficient number, since it is larger than the sum of its proper divisors (186300679).

3121313441 is a wasteful number, since it uses less digits than its factorization.

3121313441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149683.

The product of its digits is 864, while the sum is 23.

The square root of 3121313441 is about 55868.7161209205. The cubic root of 3121313441 is about 1461.4337328094.

Adding to 3121313441 its reverse (1443131213), we get a palindrome (4564444654).

The spelling of 3121313441 in words is "three billion, one hundred twenty-one million, three hundred thirteen thousand, four hundred forty-one".

Divisors: 1 17 1237 21029 148429 2523293 183606673 3121313441