Search a number
-
+
100386131 is a prime number
BaseRepresentation
bin1011111101111…
…00010101010011
320222220010212212
411332330111103
5201144324011
613543342335
72326160636
oct576742523
9228803785
10100386131
115173564a
12297519ab
1317a4a4a1
14d491c1d
158c2e08b
hex5fbc553

100386131 has 2 divisors, whose sum is σ = 100386132. Its totient is φ = 100386130.

The previous prime is 100386127. The next prime is 100386137. The reversal of 100386131 is 131683001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100386131 - 22 = 100386127 is a prime.

It is a super-2 number, since 2×1003861312 = 20154750594298322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100386097 and 100386106.

It is not a weakly prime, because it can be changed into another prime (100386137) 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, 50193065 + 50193066.

It is an arithmetic number, because the mean of its divisors is an integer number (50193066).

Almost surely, 2100386131 is an apocalyptic number.

100386131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100386131 is an equidigital number, since it uses as much as digits as its factorization.

100386131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 100386131 is about 10019.2879487516. The cubic root of 100386131 is about 464.7555365107.

The spelling of 100386131 in words is "one hundred million, three hundred eighty-six thousand, one hundred thirty-one".