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2956540031 is a prime number
BaseRepresentation
bin1011000000111001…
…0011100001111111
321122001020210110122
42300032103201333
522023333240111
61205212525155
7133160114144
oct26016234177
97561223418
102956540031
111287987315
126a61807bb
133816a8b93
142009323cb
1512485bcdb
hexb039387f

2956540031 has 2 divisors, whose sum is σ = 2956540032. Its totient is φ = 2956540030.

The previous prime is 2956539979. The next prime is 2956540051. The reversal of 2956540031 is 1300456592.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2956540031 is a prime.

It is a super-2 number, since 2×29565400312 = 17482257909810961922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2956539973 and 2956540000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2956540051) 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 as a sum of consecutive naturals, namely, 1478270015 + 1478270016.

It is an arithmetic number, because the mean of its divisors is an integer number (1478270016).

Almost surely, 22956540031 is an apocalyptic number.

2956540031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2956540031 is an equidigital number, since it uses as much as digits as its factorization.

2956540031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 2956540031 is about 54374.0749898332. The cubic root of 2956540031 is about 1435.2512084747.

It can be divided in two parts, 29565 and 40031, that added together give a palindrome (69596).

The spelling of 2956540031 in words is "two billion, nine hundred fifty-six million, five hundred forty thousand, thirty-one".