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12011113211031 = 331142937941879
BaseRepresentation
bin1010111011001000111000…
…1000101110010010010111
31120112020210010112201101000
42232302032020232102113
53033242224440223111
641313455040434343
72346526403522454
oct256621610562227
946466703481330
1012011113211031
113910980307830
12141ba016189b3
13691848c04cbc
142d74ab91c82b
1515c6838c3c56
hexaec8e22e497

12011113211031 has 32 divisors (see below), whose sum is σ = 19412372851200. Its totient is φ = 7279285285440.

The previous prime is 12011113210991. The next prime is 12011113211057. The reversal of 12011113211031 is 13011231111021.

12011113211031 is a `hidden beast` number, since 1 + 201 + 111 + 321 + 1 + 0 + 31 = 666.

12011113211031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12011113211031 - 27 = 12011113210903 is a prime.

It is a super-3 number, since 3×120111132110313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12011113210995 and 12011113211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011113211231) 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, 12281350 + ... + 13223228.

It is an arithmetic number, because the mean of its divisors is an integer number (606636651600).

Almost surely, 212011113211031 is an apocalyptic number.

12011113211031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12011113211031 is a deficient number, since it is larger than the sum of its proper divisors (7401259640169).

12011113211031 is a wasteful number, since it uses less digits than its factorization.

12011113211031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984836 (or 984830 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 12011113211031 its reverse (13011231111021), we get a palindrome (25022344322052).

The spelling of 12011113211031 in words is "twelve trillion, eleven billion, one hundred thirteen million, two hundred eleven thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 297 42937 128811 386433 472307 941879 1159299 1416921 2825637 4250763 8476911 10360669 12752289 25430733 31082007 93246021 279738063 40441458623 121324375869 363973127607 444856044853 1091919382821 1334568134559 4003704403677 12011113211031