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3132131401 = 721131374129
BaseRepresentation
bin1011101010110000…
…1000100001001001
322002021122202112201
42322230020201021
522403311201101
61234444240201
7140421451300
oct27254104111
98067582481
103132131401
111368008753
12734b40061
133abb981b9
14219d9d437
15134e93e01
hexbab08849

3132131401 has 24 divisors (see below), whose sum is σ = 3703470120. Its totient is φ = 2640863232.

The previous prime is 3132131389. The next prime is 3132131411. The reversal of 3132131401 is 1041312313.

It can be written as a sum of positive squares in 4 ways, for example, as 58537801 + 3073593600 = 7651^2 + 55440^2 .

It is not a de Polignac number, because 3132131401 - 25 = 3132131369 is a prime.

It is a super-2 number, since 2×31321314012 = 19620494226260445602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3132131411) 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 23 ways as a sum of consecutive naturals, for example, 756505 + ... + 760633.

It is an arithmetic number, because the mean of its divisors is an integer number (154311255).

Almost surely, 23132131401 is an apocalyptic number.

It is an amenable number.

3132131401 is a deficient number, since it is larger than the sum of its proper divisors (571338719).

3132131401 is a wasteful number, since it uses less digits than its factorization.

3132131401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 3132131401 is about 55965.4482783798. The cubic root of 3132131401 is about 1463.1201491642.

Adding to 3132131401 its reverse (1041312313), we get a palindrome (4173443714).

The spelling of 3132131401 in words is "three billion, one hundred thirty-two million, one hundred thirty-one thousand, four hundred one".

Divisors: 1 7 49 113 137 791 959 4129 5537 6713 15481 28903 108367 202321 466577 565673 758569 3266039 3959711 22862273 27717977 63921049 447447343 3132131401