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13220032073 is a prime number
BaseRepresentation
bin11000100111111100…
…11010111001001001
31021010022211012201112
430103332122321021
5204033312011243
610023451100105
7645414263363
oct142376327111
937108735645
1013220032073
1156743aa846
12268b441635
131328b50bb1
148d5a83d33
15525916818
hex313f9ae49

13220032073 has 2 divisors, whose sum is σ = 13220032074. Its totient is φ = 13220032072.

The previous prime is 13220031971. The next prime is 13220032079. The reversal of 13220032073 is 37023002231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11836787209 + 1383244864 = 108797^2 + 37192^2 .

It is an emirp because it is prime and its reverse (37023002231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13220032073 - 28 = 13220031817 is a prime.

It is a super-2 number, since 2×132200320732 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13220032079) 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, 6610016036 + 6610016037.

It is an arithmetic number, because the mean of its divisors is an integer number (6610016037).

Almost surely, 213220032073 is an apocalyptic number.

It is an amenable number.

13220032073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220032073 is an equidigital number, since it uses as much as digits as its factorization.

13220032073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 23.

The spelling of 13220032073 in words is "thirteen billion, two hundred twenty million, thirty-two thousand, seventy-three".