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210220272022012 = 227172397767325799
BaseRepresentation
bin101111110011000110111000…
…101000110111000111111100
31000120022212021012112102012021
4233303012320220313013330
5210023222104114201022
62023033505412245524
762164625212165120
oct5763067050670774
91016285235472167
10210220272022012
1160a89a0a14176a
121b6b211b9108a4
13903b8c0594465
1439caa032c9580
1519484a20067c7
hexbf31b8a371fc

210220272022012 has 192 divisors, whose sum is σ = 469395963187200. Its totient is φ = 80258266497024.

The previous prime is 210220272021931. The next prime is 210220272022069.

210220272022012 is nontrivially palindromic in base 10.

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, 8148375489 + ... + 8148401287.

It is an arithmetic number, because the mean of its divisors is an integer number (2444770641600).

Almost surely, 2210220272022012 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 210220272022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234697981593600).

210220272022012 is an abundant number, since it is smaller than the sum of its proper divisors (259175691165188).

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

210220272022012 is a wasteful number, since it uses less digits than its factorization.

210220272022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33620 (or 33618 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The spelling of 210220272022012 in words is "two hundred ten trillion, two hundred twenty billion, two hundred seventy-two million, twenty-two thousand, twelve".