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1133066930112 = 26331331571901
BaseRepresentation
bin10000011111010000000…
…011010100011111000000
311000022122101022212022000
4100133100003110133000
5122031010113230422
62224305044344000
7144601311665415
oct20372003243700
94008571285260
101133066930112
113a759281a007
121637199a5000
1382b0368a000
143cbaad7c10c
151e71898ecac
hex107d00d47c0

1133066930112 has 448 divisors, whose sum is σ = 3633358646400. Its totient is φ = 346233139200.

The previous prime is 1133066930059. The next prime is 1133066930141. The reversal of 1133066930112 is 2110396603311.

It is a happy number.

1133066930112 is a `hidden beast` number, since 1 + 1 + 330 + 6 + 6 + 9 + 301 + 12 = 666.

It is a super-4 number, since 4×11330669301124 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 596036362 + ... + 596038262.

It is an arithmetic number, because the mean of its divisors is an integer number (8110175550).

Almost surely, 21133066930112 is an apocalyptic number.

1133066930112 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 1133066930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816679323200).

1133066930112 is an abundant number, since it is smaller than the sum of its proper divisors (2500291716288).

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

1133066930112 is a wasteful number, since it uses less digits than its factorization.

1133066930112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 1133066930112 in words is "one trillion, one hundred thirty-three billion, sixty-six million, nine hundred thirty thousand, one hundred twelve".