Search a number
-
+
100470264161 is a prime number
BaseRepresentation
bin101110110010001111…
…1101001000101100001
3100121022221112020101212
41131210133221011201
53121230341423121
6114053322235505
710154514104021
oct1354437510541
9317287466355
10100470264161
1139677932573
121757b355b95
139622082b67
144c116b5a81
15293067c25b
hex17647e9161

100470264161 has 2 divisors, whose sum is σ = 100470264162. Its totient is φ = 100470264160.

The previous prime is 100470264149. The next prime is 100470264227. The reversal of 100470264161 is 161462074001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95465550625 + 5004713536 = 308975^2 + 70744^2 .

It is a cyclic number.

It is not a de Polignac number, because 100470264161 - 214 = 100470247777 is a prime.

It is a super-2 number, since 2×1004702641612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100470264121) 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, 50235132080 + 50235132081.

It is an arithmetic number, because the mean of its divisors is an integer number (50235132081).

Almost surely, 2100470264161 is an apocalyptic number.

It is an amenable number.

100470264161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100470264161 is an equidigital number, since it uses as much as digits as its factorization.

100470264161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 100470264161 in words is "one hundred billion, four hundred seventy million, two hundred sixty-four thousand, one hundred sixty-one".