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12023123013102 = 2319315274764499
BaseRepresentation
bin1010111011110101100111…
…1110011110110111101110
31120120101210010002212122010
42232331121332132313232
53033441323442404402
641323202500302050
72350433124252615
oct256753176366756
946511703085563
1012023123013102
113915a83553893
1214221b36a1926
13692a110bc266
142d7cca96c87c
1515cb37e2da6c
hexaef59f9edee

12023123013102 has 64 divisors (see below), whose sum is σ = 26129249280000. Its totient is φ = 3674172428640.

The previous prime is 12023123013101. The next prime is 12023123013103. The reversal of 12023123013102 is 20131032132021.

It is an interprime number because it is at equal distance from previous prime (12023123013101) and next prime (12023123013103).

It is a super-3 number, since 3×120231230131023 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023123013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186375649 + ... + 186440147.

It is an arithmetic number, because the mean of its divisors is an integer number (408269520000).

Almost surely, 212023123013102 is an apocalyptic number.

12023123013102 is an abundant number, since it is smaller than the sum of its proper divisors (14106126266898).

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

12023123013102 is a wasteful number, since it uses less digits than its factorization.

12023123013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117301.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12023123013102 its reverse (20131032132021), we get a palindrome (32154155145123).

The spelling of 12023123013102 in words is "twelve trillion, twenty-three billion, one hundred twenty-three million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 589 1178 1767 3534 52747 64499 105494 128998 158241 193497 316482 386994 1002193 1225481 1635157 1999469 2004386 2450962 3006579 3270314 3676443 3998938 4905471 5998407 6013158 7352886 9810942 11996814 31067983 37989911 62135966 75979822 93203949 113969733 186407898 227939466 3402128753 6804257506 10206386259 20412772518 64640446307 105465991343 129280892614 193921338921 210931982686 316397974029 387842677842 632795948058 2003853835517 4007707671034 6011561506551 12023123013102