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3131224001 = 61197326017
BaseRepresentation
bin1011101010100010…
…1010111111000001
322002012221122211022
42322220222333001
522403043132001
61234412555225
7140410651643
oct27250527701
98065848738
103131224001
111367548a34
12734782b15
133ab93b189
14219c04893
15134d6511b
hexbaa2afc1

3131224001 has 8 divisors (see below), whose sum is σ = 3184290984. Its totient is φ = 3078213120.

The previous prime is 3131223937. The next prime is 3131224021. The reversal of 3131224001 is 1004221313.

It can be written as a sum of positive squares in 4 ways, for example, as 17472400 + 3113751601 = 4180^2 + 55801^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 3131224001 - 26 = 3131223937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131224021) 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 7 ways as a sum of consecutive naturals, for example, 107345 + ... + 133361.

It is an arithmetic number, because the mean of its divisors is an integer number (398036373).

Almost surely, 23131224001 is an apocalyptic number.

It is an amenable number.

3131224001 is a deficient number, since it is larger than the sum of its proper divisors (53066983).

3131224001 is a wasteful number, since it uses less digits than its factorization.

3131224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28051.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3131224001 is about 55957.3409035848. The cubic root of 3131224001 is about 1462.9788435289.

Adding to 3131224001 its reverse (1004221313), we get a palindrome (4135445314).

The spelling of 3131224001 in words is "three billion, one hundred thirty-one million, two hundred twenty-four thousand, one".

Divisors: 1 61 1973 26017 120353 1587037 51331541 3131224001