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109911132 = 22323119817
BaseRepresentation
bin1101000110100…
…01110001011100
321122211001201200
412203101301130
5211114124012
614523435500
72503141422
oct643216134
9248731650
10109911132
1157050951
1230985b90
1319a03a96
1410851112
1599b13dc
hex68d1c5c

109911132 has 36 divisors (see below), whose sum is σ = 278752656. Its totient is φ = 36515520.

The previous prime is 109911079. The next prime is 109911133. The reversal of 109911132 is 231119901.

109911132 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×1099111323 (a number of 25 digits) contains 333 as substring.

109911132 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 109911096 and 109911105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109911133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6288 + ... + 16104.

Almost surely, 2109911132 is an apocalyptic number.

109911132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109911132 is an abundant number, since it is smaller than the sum of its proper divisors (168841524).

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

109911132 is a wasteful number, since it uses less digits than its factorization.

109911132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 109911132 is about 10483.8510100058. The cubic root of 109911132 is about 479.0129194581.

The spelling of 109911132 in words is "one hundred nine million, nine hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 311 622 933 1244 1866 2799 3732 5598 9817 11196 19634 29451 39268 58902 88353 117804 176706 353412 3053087 6106174 9159261 12212348 18318522 27477783 36637044 54955566 109911132