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152221585013 is a prime number
BaseRepresentation
bin1000110111000100011…
…1010000111001110101
3112112220120202201120222
42031301013100321311
54443222211210023
6153532444504125
713666123060331
oct2156107207165
9475816681528
10152221585013
1159614130923
122560284b045
131147b8ca7c4
14752084a7c1
153e5db61cc8
hex23711d0e75

152221585013 has 2 divisors, whose sum is σ = 152221585014. Its totient is φ = 152221585012.

The previous prime is 152221585007. The next prime is 152221585051. The reversal of 152221585013 is 310585122251.

152221585013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149646732964 + 2574852049 = 386842^2 + 50743^2 .

It is an emirp because it is prime and its reverse (310585122251) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 152221585013 - 232 = 147926617717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152221585093) 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, 76110792506 + 76110792507.

It is an arithmetic number, because the mean of its divisors is an integer number (76110792507).

Almost surely, 2152221585013 is an apocalyptic number.

It is an amenable number.

152221585013 is a deficient number, since it is larger than the sum of its proper divisors (1).

152221585013 is an equidigital number, since it uses as much as digits as its factorization.

152221585013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 152221585013 in words is "one hundred fifty-two billion, two hundred twenty-one million, five hundred eighty-five thousand, thirteen".