Search a number
-
+
100415157553 is a prime number
BaseRepresentation
bin101110110000100110…
…1011011010100110001
3100121012002211112100101
41131201031123110301
53121122240020203
6114044033152401
710153244520244
oct1354115332461
9317162745311
10100415157553
1139649814117
12175649bb701
13961382a2b9
144c0824d25b
15292a8e441d
hex176135b531

100415157553 has 2 divisors, whose sum is σ = 100415157554. Its totient is φ = 100415157552.

The previous prime is 100415157551. The next prime is 100415157599. The reversal of 100415157553 is 355751514001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100373011489 + 42146064 = 316817^2 + 6492^2 .

It is a cyclic number.

It is not a de Polignac number, because 100415157553 - 21 = 100415157551 is a prime.

Together with 100415157551, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100415157551) 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, 50207578776 + 50207578777.

It is an arithmetic number, because the mean of its divisors is an integer number (50207578777).

Almost surely, 2100415157553 is an apocalyptic number.

It is an amenable number.

100415157553 is a deficient number, since it is larger than the sum of its proper divisors (1).

100415157553 is an equidigital number, since it uses as much as digits as its factorization.

100415157553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52500, while the sum is 37.

The spelling of 100415157553 in words is "one hundred billion, four hundred fifteen million, one hundred fifty-seven thousand, five hundred fifty-three".