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11311311132 = 22321128563917
BaseRepresentation
bin10101000100011010…
…01110100100011100
31002012022020010211100
422202031032210130
5141131143424012
65110224353100
7550206362322
oct124215164434
932168203740
1011311311132
114884a38520
122238175790
1310b3585a14
14794389d12
154630848dc
hex2a234e91c

11311311132 has 36 divisors (see below), whose sum is σ = 31191798456. Its totient is φ = 3427669920.

The previous prime is 11311311103. The next prime is 11311311203. The reversal of 11311311132 is 23111311311.

11311311132 is a `hidden beast` number, since 11 + 311 + 311 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14281563 + ... + 14282354.

It is an arithmetic number, because the mean of its divisors is an integer number (866438846).

Almost surely, 211311311132 is an apocalyptic number.

11311311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11311311132 is an abundant number, since it is smaller than the sum of its proper divisors (19880487324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11311311132 is a wasteful number, since it uses less digits than its factorization.

11311311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28563938 (or 28563933 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11311311132 its reverse (23111311311), we get a palindrome (34422622443).

The spelling of 11311311132 in words is "eleven billion, three hundred eleven million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 28563917 57127834 85691751 114255668 171383502 257075253 314203087 342767004 514150506 628406174 942609261 1028301012 1256812348 1885218522 2827827783 3770437044 5655655566 11311311132