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3113964001 = 172918134897
BaseRepresentation
bin1011100110011011…
…0101000111100001
322001000110202120001
42321212311013201
522334133322001
61232555020001
7140111154151
oct27146650741
98030422501
103113964001
11135882a275
1272aa3a601
133a81a6c65
142177d0761
151335a6001
hexb99b51e1

3113964001 has 16 divisors (see below), whose sum is σ = 3429775440. Its totient is φ = 2814013440.

The previous prime is 3113963999. The next prime is 3113964019. The reversal of 3113964001 is 1004693113.

It can be written as a sum of positive squares in 8 ways, for example, as 659256976 + 2454707025 = 25676^2 + 49545^2 .

It is a cyclic number.

It is not a de Polignac number, because 3113964001 - 21 = 3113963999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3113964031) 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 15 ways as a sum of consecutive naturals, for example, 71785 + ... + 106681.

It is an arithmetic number, because the mean of its divisors is an integer number (214360965).

Almost surely, 23113964001 is an apocalyptic number.

It is an amenable number.

3113964001 is a deficient number, since it is larger than the sum of its proper divisors (315811439).

3113964001 is a wasteful number, since it uses less digits than its factorization.

3113964001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35124.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 3113964001 is about 55802.9031592443. The cubic root of 3113964001 is about 1460.2858014648.

The spelling of 3113964001 in words is "three billion, one hundred thirteen million, nine hundred sixty-four thousand, one".

Divisors: 1 17 29 181 493 3077 5249 34897 89233 593249 1012013 6316357 17204221 107378069 183174353 3113964001