Search a number
-
+
101500555001 is a prime number
BaseRepresentation
bin101111010000111100…
…1111000111011111001
3100200222202012102201212
41132201321320323321
53130333120230001
6114343445052505
710222164324266
oct1364171707371
9320882172655
10101500555001
113a0564652aa
12178083b7135
139757667501
144cac46a26d
152990d437bb
hex17a1e78ef9

101500555001 has 2 divisors, whose sum is σ = 101500555002. Its totient is φ = 101500555000.

The previous prime is 101500554997. The next prime is 101500555027. The reversal of 101500555001 is 100555005101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90700357225 + 10800197776 = 301165^2 + 103924^2 .

It is a cyclic number.

It is not a de Polignac number, because 101500555001 - 22 = 101500554997 is a prime.

It is a super-2 number, since 2×1015005550012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101500555061) 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, 50750277500 + 50750277501.

It is an arithmetic number, because the mean of its divisors is an integer number (50750277501).

Almost surely, 2101500555001 is an apocalyptic number.

It is an amenable number.

101500555001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101500555001 is an equidigital number, since it uses as much as digits as its factorization.

101500555001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 101500555001 in words is "one hundred one billion, five hundred million, five hundred fifty-five thousand, one".