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11312413101 = 341112696311
BaseRepresentation
bin10101000100100010…
…11011100110101101
31002012101022010110000
422202101123212231
5141131434204401
65110304134513
7550221632133
oct124221334655
932171263400
1011312413101
114885620440
122238607439
1310b3880482
14794595753
15463201186
hex2a245b9ad

11312413101 has 20 divisors (see below), whose sum is σ = 18435045024. Its totient is φ = 6856007400.

The previous prime is 11312413087. The next prime is 11312413117. The reversal of 11312413101 is 10131421311.

It is a happy number.

11312413101 is a `hidden beast` number, since 1 + 1 + 312 + 41 + 310 + 1 = 666.

11312413101 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 11312413101 - 25 = 11312413069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312413001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6347265 + ... + 6349046.

Almost surely, 211312413101 is an apocalyptic number.

11312413101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11312413101 is a deficient number, since it is larger than the sum of its proper divisors (7122631923).

11312413101 is a wasteful number, since it uses less digits than its factorization.

11312413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12696334 (or 12696325 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11312413101 its reverse (10131421311), we get a palindrome (21443834412).

The spelling of 11312413101 in words is "eleven billion, three hundred twelve million, four hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 11 27 33 81 99 297 891 12696311 38088933 114266799 139659421 342800397 418978263 1028401191 1256934789 3770804367 11312413101