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12003114440131 = 61677182350261
BaseRepresentation
bin1010111010101011000101…
…0111110101010111000011
31120111111010200110001110221
42232222301113311113003
53033124334244041011
641310053223203511
72346124236221623
oct256526127652703
946444120401427
1012003114440131
1139085461a9871
12141a34a8a6597
13690b72a02479
142d6d4d494883
1515c36656c971
hexaeab15f55c3

12003114440131 has 32 divisors (see below), whose sum is σ = 12571875634176. Its totient is φ = 11452163184000.

The previous prime is 12003114440099. The next prime is 12003114440147. The reversal of 12003114440131 is 13104441130021.

It is a cyclic number.

It is not a de Polignac number, because 12003114440131 - 25 = 12003114440099 is a prime.

It is a super-2 number, since 2×120031144401312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12003114440096 and 12003114440105.

It is not an unprimeable number, because it can be changed into a prime (12003114444131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238790541 + ... + 238840801.

It is an arithmetic number, because the mean of its divisors is an integer number (392871113568).

Almost surely, 212003114440131 is an apocalyptic number.

12003114440131 is a deficient number, since it is larger than the sum of its proper divisors (568761194045).

12003114440131 is an equidigital number, since it uses as much as digits as its factorization.

12003114440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51283.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 12003114440131 its reverse (13104441130021), we get a palindrome (25107555570152).

The spelling of 12003114440131 in words is "twelve trillion, three billion, one hundred fourteen million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 61 67 71 823 4087 4331 4757 50203 50261 55141 58433 290177 3065921 3363601 3367487 3564413 3568531 3915011 41364803 205416707 217680391 238815671 239091577 2523252983 2771441801 2936901013 14584586197 169057949861 179150961793 196772367871 12003114440131