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123013100020 = 22532091916689
BaseRepresentation
bin111001010010000100…
…1101111000111110100
3102202111222211221200111
41302210021233013310
54003412323200040
6132302245352404
711613244045366
oct1624411570764
9382458757614
10123013100020
1148195762828
121ba10a08704
13b7a55074a5
145d4d59cd36
1532ee785dea
hex1ca426f1f4

123013100020 has 24 divisors (see below), whose sum is σ = 258408145800. Its totient is φ = 49189880832.

The previous prime is 123013099999. The next prime is 123013100113. The reversal of 123013100020 is 20001310321.

It can be written as a sum of positive squares in 4 ways, for example, as 7493326096 + 115519773924 = 86564^2 + 339882^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 894165 + ... + 1022524.

It is an arithmetic number, because the mean of its divisors is an integer number (10767006075).

Almost surely, 2123013100020 is an apocalyptic number.

123013100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123013100020 is an abundant number, since it is smaller than the sum of its proper divisors (135395045780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123013100020 is a wasteful number, since it uses less digits than its factorization.

123013100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919907 (or 1919905 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 123013100020 its reverse (20001310321), we get a palindrome (143014410341).

The spelling of 123013100020 in words is "one hundred twenty-three billion, thirteen million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 3209 6418 12836 16045 32090 64180 1916689 3833378 7666756 9583445 19166890 38333780 6150655001 12301310002 24602620004 30753275005 61506550010 123013100020