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981122112 = 2633567779
BaseRepresentation
bin111010011110101…
…011110001000000
32112101011011112000
4322132223301000
54002131401422
6241204504000
733212254215
oct7236536100
92471134460
10981122112
114638aa623
122346ab000
1312835a739
1494435b0c
155b202cac
hex3a7abc40

981122112 has 56 divisors (see below), whose sum is σ = 2884322400. Its totient is φ = 327040128.

The previous prime is 981122111. The next prime is 981122119. The reversal of 981122112 is 211221189.

981122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (981122111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282162 + ... + 285617.

Almost surely, 2981122112 is an apocalyptic number.

It is an amenable number.

981122112 is an abundant number, since it is smaller than the sum of its proper divisors (1903200288).

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

981122112 is a wasteful number, since it uses less digits than its factorization.

981122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567800 (or 567784 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 981122112 is about 31322.8688341282. The cubic root of 981122112 is about 993.6673528988.

The spelling of 981122112 in words is "nine hundred eighty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 567779 1135558 1703337 2271116 3406674 4542232 5110011 6813348 9084464 10220022 13626696 15330033 18168928 20440044 27253392 30660066 36337856 40880088 54506784 61320132 81760176 109013568 122640264 163520352 245280528 327040704 490561056 981122112