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212110122211101 = 3382119934801171
BaseRepresentation
bin110000001110100110111100…
…011111001101011100011101
31000211000112022010002002212000
4300032212330133031130131
5210300203012241223401
62031042013412432513
762451310363561212
oct6016467437153435
91024015263062760
10212110122211101
116164844131a274
121b958442918739
139147b8b597b0a
143a54282b19b09
15197c70eb98186
hexc0e9bc7cd71d

212110122211101 has 32 divisors (see below), whose sum is σ = 314777895507840. Its totient is φ = 141163616246400.

The previous prime is 212110122211067. The next prime is 212110122211111. The reversal of 212110122211101 is 101112221011212.

It is a happy number.

212110122211101 is a `hidden beast` number, since 21 + 211 + 0 + 122 + 211 + 101 = 666.

It is not a de Polignac number, because 212110122211101 - 26 = 212110122211037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110122211111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41778246 + ... + 46579416.

It is an arithmetic number, because the mean of its divisors is an integer number (9836809234620).

Almost surely, 2212110122211101 is an apocalyptic number.

It is an amenable number.

212110122211101 is a deficient number, since it is larger than the sum of its proper divisors (102667773296739).

212110122211101 is a wasteful number, since it uses less digits than its factorization.

212110122211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803994 (or 4803988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212110122211101 its reverse (101112221011212), we get a palindrome (313222343222313).

The spelling of 212110122211101 in words is "two hundred twelve trillion, one hundred ten billion, one hundred twenty-two million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 9 27 821 1993 2463 5979 7389 17937 22167 53811 1636253 4801171 4908759 14403513 14726277 43210539 44178831 129631617 3941761391 9568733803 11825284173 28706201409 35475852519 86118604227 106427557557 258355812681 7855930452263 23567791356789 70703374070367 212110122211101