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220107818112 = 27372131316869
BaseRepresentation
bin1100110011111101110…
…0101100010010000000
3210001010200200200101120
43030333130230102000
512101240100134422
6245041030232240
721621322404300
oct3147734542200
9701120620346
10220107818112
11853901415a6
12367a97b5680
13179aa146cc0
14a920831600
155ad38db45c
hex333f72c480

220107818112 has 384 divisors, whose sum is σ = 738131486400. Its totient is φ = 57598894080.

The previous prime is 220107818089. The next prime is 220107818201. The reversal of 220107818112 is 211818701022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32040214 + ... + 32047082.

Almost surely, 2220107818112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220107818112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369065743200).

220107818112 is an abundant number, since it is smaller than the sum of its proper divisors (518023668288).

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

220107818112 is a wasteful number, since it uses less digits than its factorization.

220107818112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The spelling of 220107818112 in words is "two hundred twenty billion, one hundred seven million, eight hundred eighteen thousand, one hundred twelve".