Search a number
-
+
100131132019 is a prime number
BaseRepresentation
bin101110101000001000…
…1111101001001110011
3100120110022101112120011
41131100101331021303
53120032032211034
6113555525355351
710143225402412
oct1352021751163
9316408345504
10100131132019
1139513460576
12174a5868b57
139599a33559
144bbc637479
1529109dd864
hex175047d273

100131132019 has 2 divisors, whose sum is σ = 100131132020. Its totient is φ = 100131132018.

The previous prime is 100131131983. The next prime is 100131132037. The reversal of 100131132019 is 910231131001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100131132019 is a prime.

It is a super-2 number, since 2×1001311320192 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100131139019) 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, 50065566009 + 50065566010.

It is an arithmetic number, because the mean of its divisors is an integer number (50065566010).

Almost surely, 2100131132019 is an apocalyptic number.

100131132019 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131132019 is an equidigital number, since it uses as much as digits as its factorization.

100131132019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 100131132019 in words is "one hundred billion, one hundred thirty-one million, one hundred thirty-two thousand, nineteen".