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210220121022012 = 22328965611773103
BaseRepresentation
bin101111110011000110101111…
…101000110101111000111100
31000120022211212200101211010200
4233303012233220311320330
5210023221301440201022
62023033442420003500
762164621366541643
oct5763065750657074
91016284780354120
10210220121022012
1160a89941987182
121b6b2099230590
13903b89820534a
1439ca9cb22035a
151948493b2abac
hexbf31afa35e3c

210220121022012 has 36 divisors (see below), whose sum is σ = 537360421721760. Its totient is φ = 69286032395712.

The previous prime is 210220121021987. The next prime is 210220121022013.

It is a happy number.

210220121022012 is a `hidden beast` number, since 2 + 1 + 0 + 220 + 1 + 210 + 220 + 12 = 666.

210220121022012 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220121022013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32805883348 + ... + 32805889755.

It is an arithmetic number, because the mean of its divisors is an integer number (14926678381160).

Almost surely, 2210220121022012 is an apocalyptic number.

It is an amenable number.

210220121022012 is an abundant number, since it is smaller than the sum of its proper divisors (327140300699748).

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

210220121022012 is a wasteful number, since it uses less digits than its factorization.

210220121022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65611773202 (or 65611773197 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 210220121022012 in words is "two hundred ten trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 65611773103 131223546206 196835319309 262447092412 393670638618 590505957927 787341277236 1181011915854 2362023831708 5839447806167 11678895612334 17518343418501 23357791224668 35036686837002 52555030255503 70073373674004 105110060511006 210220121022012