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1131331113231 = 31123116614637
BaseRepresentation
bin10000011101101000100…
…101101101000100001111
311000011011102002020011220
4100131220211231010033
5122013431231110411
62223420520014423
7144510303536664
oct20355045550417
94004142066156
101131331113231
113a6881a13100
12163314601413
13828b7b7cc27
143ca84611a6b
151e6663b3b06
hex1076896d10f

1131331113231 has 12 divisors (see below), whose sum is σ = 1658038987416. Its totient is φ = 685655219920.

The previous prime is 1131331113197. The next prime is 1131331113239. The reversal of 1131331113231 is 1323111331311.

It is not a de Polignac number, because 1131331113231 - 29 = 1131331112719 is a prime.

It is a super-2 number, since 2×11313311132312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131331113239) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1558306956 + ... + 1558307681.

It is an arithmetic number, because the mean of its divisors is an integer number (138169915618).

Almost surely, 21131331113231 is an apocalyptic number.

1131331113231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131331113231 is a deficient number, since it is larger than the sum of its proper divisors (526707874185).

1131331113231 is a wasteful number, since it uses less digits than its factorization.

1131331113231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116614662 (or 3116614651 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

Adding to 1131331113231 its reverse (1323111331311), we get a palindrome (2454442444542).

The spelling of 1131331113231 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-one million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 11 33 121 363 3116614637 9349843911 34282761007 102848283021 377110371077 1131331113231