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212220200102020 = 22511101149337190207
BaseRepresentation
bin110000010000001101011101…
…101001000010100010000100
31000211102001102122001100110221
4300100031131221002202010
5210304003432211231040
62031204340343554124
762462255252321665
oct6020153551024204
91024361378040427
10212220200102020
116169009942aa40
121b97584375b944
139155381c67106
143a597263b736c
151980503a2974a
hexc1035da42884

212220200102020 has 192 divisors, whose sum is σ = 495755392204800. Its totient is φ = 75668511744000.

The previous prime is 212220200102011. The next prime is 212220200102039. The reversal of 212220200102020 is 20201002022212.

It is a junction number, because it is equal to n+sod(n) for n = 212220200101985 and 212220200102003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1115637757 + ... + 1115827963.

It is an arithmetic number, because the mean of its divisors is an integer number (2582059334400).

Almost surely, 2212220200102020 is an apocalyptic number.

212220200102020 is a gapful number since it is divisible by the number (20) 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 212220200102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247877696102400).

212220200102020 is an abundant number, since it is smaller than the sum of its proper divisors (283535192102780).

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

212220200102020 is a wasteful number, since it uses less digits than its factorization.

212220200102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190814 (or 190812 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212220200102020 its reverse (20201002022212), we get a palindrome (232421202124232).

The spelling of 212220200102020 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred million, one hundred two thousand, twenty".