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212210012200020 = 2235538357710091381
BaseRepresentation
bin110000010000000011111110…
…011001010001110001010100
31000211101002010121201022021020
4300100003332121101301110
5210303322101110400040
62031155533405521140
762461444633510542
oct6020037631216124
91024332117638236
10212210012200020
116168684064641a
121b97387b8731b0
13915441a36a133
143a5903b300d92
151980109401cd0
hexc100fe651c54

212210012200020 has 384 divisors, whose sum is σ = 614808103150080. Its totient is φ = 54663732264960.

The previous prime is 212210012200009. The next prime is 212210012200061. The reversal of 212210012200020 is 20002210012212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153664019730 + ... + 153664021110.

It is an arithmetic number, because the mean of its divisors is an integer number (1601062768620).

Almost surely, 2212210012200020 is an apocalyptic number.

212210012200020 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 212210012200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307404051575040).

212210012200020 is an abundant number, since it is smaller than the sum of its proper divisors (402598090950060).

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

212210012200020 is a wasteful number, since it uses less digits than its factorization.

212210012200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212210012200020 its reverse (20002210012212), we get a palindrome (232212222212232).

The spelling of 212210012200020 in words is "two hundred twelve trillion, two hundred ten billion, twelve million, two hundred thousand, twenty".