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123013223329 is a prime number
BaseRepresentation
bin111001010010000101…
…0001101001110100001
3102202112000002012211111
41302210022031032201
54003412341121304
6132302252143321
711613245101033
oct1624412151641
9382460065744
10123013223329
1148195837437
121ba10a67b41
13b7a554b659
145d4d5d1c53
1532ee7ac704
hex1ca428d3a1

123013223329 has 2 divisors, whose sum is σ = 123013223330. Its totient is φ = 123013223328.

The previous prime is 123013223191. The next prime is 123013223339. The reversal of 123013223329 is 923322310321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79609751104 + 43403472225 = 282152^2 + 208335^2 .

It is a cyclic number.

It is not a de Polignac number, because 123013223329 - 211 = 123013221281 is a prime.

It is a super-2 number, since 2×1230132233292 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123013223329.

It is not a weakly prime, because it can be changed into another prime (123013223339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506611664 + 61506611665.

It is an arithmetic number, because the mean of its divisors is an integer number (61506611665).

Almost surely, 2123013223329 is an apocalyptic number.

It is an amenable number.

123013223329 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013223329 is an equidigital number, since it uses as much as digits as its factorization.

123013223329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 123013223329 in words is "one hundred twenty-three billion, thirteen million, two hundred twenty-three thousand, three hundred twenty-nine".