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123011223102 = 23347101479879
BaseRepresentation
bin111001010010000001…
…0100100111000111110
3102202111212022121001000
41302210002210320332
54003411333114402
6132302141231130
711613222100335
oct1624402447076
9382455277030
10123011223102
11481946a0659
121ba102624a6
13b7a4ccb0a1
145d4d230d1c
1532ee514c1c
hex1ca40a4e3e

123011223102 has 64 divisors (see below), whose sum is σ = 281939097600. Its totient is φ = 39733898400.

The previous prime is 123011223073. The next prime is 123011223113. The reversal of 123011223102 is 201322110321.

123011223102 is a `hidden beast` number, since 1 + 230 + 1 + 122 + 310 + 2 = 666.

123011223102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1230112231022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 16399 + ... + 496277.

It is an arithmetic number, because the mean of its divisors is an integer number (4405298400).

Almost surely, 2123011223102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123011223102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140969548800).

123011223102 is an abundant number, since it is smaller than the sum of its proper divisors (158927874498).

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

123011223102 is a wasteful number, since it uses less digits than its factorization.

123011223102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480038 (or 480032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123011223102 its reverse (201322110321), we get a palindrome (324333333423).

The spelling of 123011223102 in words is "one hundred twenty-three billion, eleven million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 47 54 94 101 141 202 282 303 423 606 846 909 1269 1818 2538 2727 4747 5454 9494 14241 28482 42723 85446 128169 256338 479879 959758 1439637 2879274 4318911 8637822 12956733 22554313 25913466 45108626 48467779 67662939 96935558 135325878 145403337 202988817 290806674 405977634 436210011 608966451 872420022 1217932902 1308630033 2277985613 2617260066 4555971226 6833956839 13667913678 20501870517 41003741034 61505611551 123011223102