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123013229873 is a prime number
BaseRepresentation
bin111001010010000101…
…0001110110100110001
3102202112000002112210212
41302210022032310301
54003412341323443
6132302252233505
711613245126102
oct1624412166461
9382460075725
10123013229873
1148195841346
121ba10a6b895
13b7a5551621
145d4d5d43a9
1532ee7ae618
hex1ca428ed31

123013229873 has 2 divisors, whose sum is σ = 123013229874. Its totient is φ = 123013229872.

The previous prime is 123013229869. The next prime is 123013229897. The reversal of 123013229873 is 378922310321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86643688609 + 36369541264 = 294353^2 + 190708^2 .

It is a cyclic number.

It is not a de Polignac number, because 123013229873 - 22 = 123013229869 is a prime.

It is a super-2 number, since 2×1230132298732 (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 123013229873.

It is not a weakly prime, because it can be changed into another prime (123013229803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506614936 + 61506614937.

It is an arithmetic number, because the mean of its divisors is an integer number (61506614937).

Almost surely, 2123013229873 is an apocalyptic number.

It is an amenable number.

123013229873 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013229873 is an equidigital number, since it uses as much as digits as its factorization.

123013229873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 123013229873 in words is "one hundred twenty-three billion, thirteen million, two hundred twenty-nine thousand, eight hundred seventy-three".