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11312103231 = 32111310518363
BaseRepresentation
bin10101000100100000…
…01111111100111111
31002012100201101101100
422202100033330333
5141131344300411
65110253344143
7550216201542
oct124220177477
932170641340
1011312103231
114885429650
122238498053
1310b37a2410
14794514859
1546318e456
hex2a240ff3f

11312103231 has 48 divisors (see below), whose sum is σ = 19216858752. Its totient is φ = 6321672000.

The previous prime is 11312103221. The next prime is 11312103247. The reversal of 11312103231 is 13230121311.

11312103231 is a `hidden beast` number, since 1 + 131 + 210 + 323 + 1 = 666.

It is not a de Polignac number, because 11312103231 - 211 = 11312101183 is a prime.

It is a super-2 number, since 2×113121032312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312103211) 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 47 ways as a sum of consecutive naturals, for example, 1348456 + ... + 1356818.

It is an arithmetic number, because the mean of its divisors is an integer number (400351224).

Almost surely, 211312103231 is an apocalyptic number.

11312103231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312103231 is a deficient number, since it is larger than the sum of its proper divisors (7904755521).

11312103231 is a wasteful number, since it uses less digits than its factorization.

11312103231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11312103231 its reverse (13230121311), we get a palindrome (24542224542).

The spelling of 11312103231 in words is "eleven billion, three hundred twelve million, one hundred three thousand, two hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1051 1287 3153 8363 9459 11561 13663 25089 34683 40989 75267 91993 104049 108719 122967 150293 275979 326157 450879 827937 978471 1195909 1352637 3587727 8789513 10763181 26368539 79105617 96684643 114263669 290053929 342791007 870161787 1028373021 1256900359 3770701077 11312103231