Search a number
-
+
101654505157 is a prime number
BaseRepresentation
bin101111010101100010…
…1001010011011000101
3100201101110212220122111
41132223011022123011
53131142023131112
6114411024501021
710226044015462
oct1365305123305
9321343786574
10101654505157
113a125355337
121784ba7a771
13978051a38a
144cc4aa2669
15299e6035a7
hex17ab14a6c5

101654505157 has 2 divisors, whose sum is σ = 101654505158. Its totient is φ = 101654505156.

The previous prime is 101654505101. The next prime is 101654505163. The reversal of 101654505157 is 751505456101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101349269316 + 305235841 = 318354^2 + 17471^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101654505157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101654505457) 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, 50827252578 + 50827252579.

It is an arithmetic number, because the mean of its divisors is an integer number (50827252579).

Almost surely, 2101654505157 is an apocalyptic number.

It is an amenable number.

101654505157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101654505157 is an equidigital number, since it uses as much as digits as its factorization.

101654505157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105000, while the sum is 40.

The spelling of 101654505157 in words is "one hundred one billion, six hundred fifty-four million, five hundred five thousand, one hundred fifty-seven".