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1091930112 = 21133721331
BaseRepresentation
bin100000100010101…
…1000100000000000
32211002122210112000
41001011120200000
54214013230422
6300203504000
736026152500
oct10105304000
92732583460
101091930112
11510403289
12265828000
131452b67c0
14a503ba00
1565cdecac
hex41158800

1091930112 has 576 divisors, whose sum is σ = 4182796800. Its totient is φ = 278691840.

The previous prime is 1091930107. The next prime is 1091930159. The reversal of 1091930112 is 2110391901.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10919301122 = 2384622738984665088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35223537 + ... + 35223567.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 21091930112 is an apocalyptic number.

1091930112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1091930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091398400).

1091930112 is an abundant number, since it is smaller than the sum of its proper divisors (3090866688).

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

1091930112 is a wasteful number, since it uses less digits than its factorization.

1091930112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 56 counting only the distinct ones).

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

The square root of 1091930112 is about 33044.3658132517. The cubic root of 1091930112 is about 1029.7495579876.

The spelling of 1091930112 in words is "one billion, ninety-one million, nine hundred thirty thousand, one hundred twelve".