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2013221332169 is a prime number
BaseRepresentation
bin11101010010111101010…
…101111010010011001001
321010110110212010010002022
4131102331111322103021
5230441034130112134
64140510000014225
7265310333655005
oct35227525722311
97113425103068
102013221332169
11706890a59393
12286213901375
13117acc74bc48
146d624791705
153757da9e52e
hex1d4bd57a4c9

2013221332169 has 2 divisors, whose sum is σ = 2013221332170. Its totient is φ = 2013221332168.

The previous prime is 2013221332093. The next prime is 2013221332181. The reversal of 2013221332169 is 9612331223102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1643557332169 + 369664000000 = 1282013^2 + 608000^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013221332169 - 216 = 2013221266633 is a prime.

It is a super-2 number, since 2×20132213321692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2013221332469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006610666084 + 1006610666085.

It is an arithmetic number, because the mean of its divisors is an integer number (1006610666085).

Almost surely, 22013221332169 is an apocalyptic number.

It is an amenable number.

2013221332169 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013221332169 is an equidigital number, since it uses as much as digits as its factorization.

2013221332169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 2013221332169 in words is "two trillion, thirteen billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred sixty-nine".