Search a number
-
+
100021350131 is a prime number
BaseRepresentation
bin101110100100110111…
…1001010111011110011
3100120011122211001010022
41131021233022323303
53114320431201011
6113541004354055
710140423306533
oct1351157127363
9316148731108
10100021350131
113946749883a
1217474b4592b
139580076561
144babc1b4c3
1529060558db
hex1749bcaef3

100021350131 has 2 divisors, whose sum is σ = 100021350132. Its totient is φ = 100021350130.

The previous prime is 100021350103. The next prime is 100021350137. The reversal of 100021350131 is 131053120001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100021350131 is a prime.

It is a super-2 number, since 2×1000213501312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100021350137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010675065 + 50010675066.

It is an arithmetic number, because the mean of its divisors is an integer number (50010675066).

Almost surely, 2100021350131 is an apocalyptic number.

100021350131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021350131 is an equidigital number, since it uses as much as digits as its factorization.

100021350131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 100021350131 its reverse (131053120001), we get a palindrome (231074470132).

The spelling of 100021350131 in words is "one hundred billion, twenty-one million, three hundred fifty thousand, one hundred thirty-one".