Search a number
-
+
100983931 is a prime number
BaseRepresentation
bin1100000010011…
…10010001111011
321001000111220121
412001032101323
5201322441211
614004234111
72334230536
oct601162173
9231014817
10100983931
11520037a4
122999b937
1317bc9609
14d5a9a1d
158ceb271
hex604e47b

100983931 has 2 divisors, whose sum is σ = 100983932. Its totient is φ = 100983930.

The previous prime is 100983929. The next prime is 100983977. The reversal of 100983931 is 139389001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100983931 - 21 = 100983929 is a prime.

It is a super-2 number, since 2×1009839312 = 20395508640425522, which contains 22 as substring.

Together with 100983929, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100983031) 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 as a sum of consecutive naturals, namely, 50491965 + 50491966.

It is an arithmetic number, because the mean of its divisors is an integer number (50491966).

Almost surely, 2100983931 is an apocalyptic number.

100983931 is a deficient number, since it is larger than the sum of its proper divisors (1).

100983931 is an equidigital number, since it uses as much as digits as its factorization.

100983931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 100983931 is about 10049.0761266895. The cubic root of 100983931 is about 465.6762519504.

The spelling of 100983931 in words is "one hundred million, nine hundred eighty-three thousand, nine hundred thirty-one".