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123013110011 = 11471931232831
BaseRepresentation
bin111001010010000100…
…1110001100011111011
3102202111222212110101112
41302210021301203323
54003412324010021
6132302245510535
711613244116461
oct1624411614373
9382458773345
10123013110011
114819576a290
121ba10a1244b
13b7a550bbbc
145d4d5a2831
1532ee788d5b
hex1ca42718fb

123013110011 has 16 divisors (see below), whose sum is σ = 137761579008. Its totient is φ = 108883545600.

The previous prime is 123013110007. The next prime is 123013110023. The reversal of 123013110011 is 110011310321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123013110011 - 22 = 123013110007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123063110011) 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 in 15 ways as a sum of consecutive naturals, for example, 516635 + ... + 716196.

It is an arithmetic number, because the mean of its divisors is an integer number (8610098688).

Almost surely, 2123013110011 is an apocalyptic number.

123013110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123013110011 is a deficient number, since it is larger than the sum of its proper divisors (14748468997).

123013110011 is a wasteful number, since it uses less digits than its factorization.

123013110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233082.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 123013110011 its reverse (110011310321), we get a palindrome (233024420332).

The spelling of 123013110011 in words is "one hundred twenty-three billion, thirteen million, one hundred ten thousand, eleven".

Divisors: 1 11 47 193 517 2123 9071 99781 1232831 13561141 57943057 237936383 637373627 2617300213 11183010001 123013110011