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212122102012110 = 232511328174399901
BaseRepresentation
bin110000001110110010000110…
…100010100001100011001110
31000211001200020000012001101200
4300032302012202201203032
5210300402031103341420
62031051314241250330
762452213301316603
oct6016620642414316
91024050200161350
10212122102012110
1161652529635064
121b95a8269339a6
13914904a4a9774
143a54a9bb9a6aa
15197cbb1778b90
hexc0ec868a18ce

212122102012110 has 192 divisors, whose sum is σ = 559135330655616. Its totient is φ = 55790042112000.

The previous prime is 212122102012087. The next prime is 212122102012129. The reversal of 212122102012110 is 11210201221212.

212122102012110 is a `hidden beast` number, since 21 + 21 + 2 + 210 + 201 + 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, 2123273160 + ... + 2123373060.

It is an arithmetic number, because the mean of its divisors is an integer number (2912163180498).

Almost surely, 2212122102012110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212122102012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279567665327808).

212122102012110 is an abundant number, since it is smaller than the sum of its proper divisors (347013228643506).

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

212122102012110 is a wasteful number, since it uses less digits than its factorization.

212122102012110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101051 (or 101048 counting only the distinct ones).

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

Adding to 212122102012110 its reverse (11210201221212), we get a palindrome (223332303233322).

The spelling of 212122102012110 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred ten".