Search a number
-
+
221534403655153 is a prime number
BaseRepresentation
bin110010010111101111111111…
…011011110111010111110001
31002001101111000111021110112211
4302113233333123313113301
5213014104424313431103
62103055300003052121
764443222020244541
oct6227577733672761
91061344014243484
10221534403655153
1164651238523026
1220a1aa27671041
13967c7b2493bc4
143c9c472743321
151a9294180536d
hexc97bff6f75f1

221534403655153 has 2 divisors, whose sum is σ = 221534403655154. Its totient is φ = 221534403655152.

The previous prime is 221534403655141. The next prime is 221534403655183. The reversal of 221534403655153 is 351556304435122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142906316561649 + 78628087093504 = 11954343^2 + 8867248^2 .

It is a cyclic number.

It is not a de Polignac number, because 221534403655153 - 217 = 221534403524081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221534403655097 and 221534403655106.

It is not a weakly prime, because it can be changed into another prime (221534403655183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110767201827576 + 110767201827577.

It is an arithmetic number, because the mean of its divisors is an integer number (110767201827577).

Almost surely, 2221534403655153 is an apocalyptic number.

It is an amenable number.

221534403655153 is a deficient number, since it is larger than the sum of its proper divisors (1).

221534403655153 is an equidigital number, since it uses as much as digits as its factorization.

221534403655153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480000, while the sum is 49.

The spelling of 221534403655153 in words is "two hundred twenty-one trillion, five hundred thirty-four billion, four hundred three million, six hundred fifty-five thousand, one hundred fifty-three".