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212102121202110 = 2325173833313109253
BaseRepresentation
bin110000001110011111011111…
…100101110010000110111110
31000210222202122111202201212200
4300032133133211302012332
5210300040121011431420
62031034211435212330
762450605201246326
oct6016373745620676
91023882574681780
10212102121202110
1161645005a22847
121b95698b2a70a6
1391471b4a90679
143a53b2426c286
15197c3e254db90
hexc0e7df9721be

212102121202110 has 192 divisors, whose sum is σ = 585611285096448. Its totient is φ = 53077970829312.

The previous prime is 212102121202087. The next prime is 212102121202151. The reversal of 212102121202110 is 11202121201212.

212102121202110 is a `hidden beast` number, since 2 + 121 + 0 + 212 + 120 + 211 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1941330244 + ... + 1941439496.

It is an arithmetic number, because the mean of its divisors is an integer number (3050058776544).

Almost surely, 2212102121202110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102121202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292805642548224).

212102121202110 is an abundant number, since it is smaller than the sum of its proper divisors (373509163894338).

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

212102121202110 is a wasteful number, since it uses less digits than its factorization.

212102121202110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112979 (or 112976 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212102121202110 its reverse (11202121201212), we get a palindrome (223304242403322).

The spelling of 212102121202110 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred two thousand, one hundred ten".