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11331321132 = 2236728349801
BaseRepresentation
bin10101000110110011…
…00011110100101100
31002020200212202101110
422203121203310230
5141201304234012
65112221312020
7550541432445
oct124331436454
932220782343
1011331321132
11489526530a
122242a05610
1310b7770861
14796cb82cc
15464bd873c
hex2a3663d2c

11331321132 has 48 divisors (see below), whose sum is σ = 26929734272. Its totient is φ = 3707510400.

The previous prime is 11331321109. The next prime is 11331321149. The reversal of 11331321132 is 23112313311.

It is a happy number.

11331321132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113313211322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11331321099 and 11331321108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 202632 + ... + 252432.

Almost surely, 211331321132 is an apocalyptic number.

11331321132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331321132 is an abundant number, since it is smaller than the sum of its proper divisors (15598413140).

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

11331321132 is a wasteful number, since it uses less digits than its factorization.

11331321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50158 (or 50156 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 11331321132 its reverse (23112313311), we get a palindrome (34443634443).

The spelling of 11331321132 in words is "eleven billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 67 134 201 268 283 402 566 804 849 1132 1698 3396 18961 37922 49801 56883 75844 99602 113766 149403 199204 227532 298806 597612 3336667 6673334 10010001 13346668 14093683 20020002 28187366 40040004 42281049 56374732 84562098 169124196 944276761 1888553522 2832830283 3777107044 5665660566 11331321132