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212123103210020 = 22510606155160501
BaseRepresentation
bin110000001110110011000010…
…001101110010101000100100
31000211001202210210010011201202
4300032303002031302220210
5210300411103410210040
62031052001444342032
762452250146340132
oct6016630215625044
91024052723104652
10212123103210020
11616529a27a6952
121b95aa660a4918
139149179a45c72
143a54b54b3a752
15197cc1e5e5015
hexc0ecc2372a24

212123103210020 has 12 divisors (see below), whose sum is σ = 445458516741084. Its totient is φ = 84849241284000.

The previous prime is 212123103209977. The next prime is 212123103210049. The reversal of 212123103210020 is 20012301321212.

It can be written as a sum of positive squares in 2 ways, for example, as 74183527836196 + 137939575373824 = 8612986^2 + 11744768^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10606155160501 = 212123103210020 / (2 + 1 + 2 + 1 + 2 + 3 + 1 + 0 + 3 + 2 + 1 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 212123103209974 and 212123103210001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5303077580231 + ... + 5303077580270.

It is an arithmetic number, because the mean of its divisors is an integer number (37121543061757).

Almost surely, 2212123103210020 is an apocalyptic number.

212123103210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123103210020 is an abundant number, since it is smaller than the sum of its proper divisors (233335413531064).

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

212123103210020 is a wasteful number, since it uses less digits than its factorization.

212123103210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606155160510 (or 10606155160508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212123103210020 its reverse (20012301321212), we get a palindrome (232135404531232).

The spelling of 212123103210020 in words is "two hundred twelve trillion, one hundred twenty-three billion, one hundred three million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 10606155160501 21212310321002 42424620642004 53030775802505 106061551605010 212123103210020