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332113011973 is a prime number
BaseRepresentation
bin1001101010100110111…
…10100110010100000101
31011202020112020001121221
410311103132212110011
520420131412340343
6412323130240341
732665033011061
oct4652336462405
91152215201557
10332113011973
11118937156516
1254447b860b1
1325419bb9342
1412108062aa1
15898ba705ed
hex4d537a6505

332113011973 has 2 divisors, whose sum is σ = 332113011974. Its totient is φ = 332113011972.

The previous prime is 332113011947. The next prime is 332113012013. The reversal of 332113011973 is 379110311233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174371386084 + 157741625889 = 417578^2 + 397167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332113011973 is a prime.

It is a super-2 number, since 2×3321130119732 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332113021973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166056505986 + 166056505987.

It is an arithmetic number, because the mean of its divisors is an integer number (166056505987).

Almost surely, 2332113011973 is an apocalyptic number.

It is an amenable number.

332113011973 is a deficient number, since it is larger than the sum of its proper divisors (1).

332113011973 is an equidigital number, since it uses as much as digits as its factorization.

332113011973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 34.

The spelling of 332113011973 in words is "three hundred thirty-two billion, one hundred thirteen million, eleven thousand, nine hundred seventy-three".