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212110222110100 = 22528327539927973
BaseRepresentation
bin110000001110100111000010…
…011100010010110110010100
31000211000112120002001111111221
4300032213002130102312110
5210300203213330010400
62031042031341540124
762451313015653016
oct6016470234226624
91024015502044457
10212110222110100
1161648492751926
121b958470274644
139147ba61a4652
143a542920c21b6
15197c71882cc1a
hexc0e9c2712d94

212110222110100 has 72 divisors (see below), whose sum is σ = 465842131382880. Its totient is φ = 83818736830080.

The previous prime is 212110222110071. The next prime is 212110222110167. The reversal of 212110222110100 is 1011222011212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228109714 + ... + 229037686.

It is an arithmetic number, because the mean of its divisors is an integer number (6470029602540).

Almost surely, 2212110222110100 is an apocalyptic number.

212110222110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110222110100 is an abundant number, since it is smaller than the sum of its proper divisors (253731909272780).

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

212110222110100 is a wasteful number, since it uses less digits than its factorization.

212110222110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955609 (or 955602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212110222110100 its reverse (1011222011212), we get a palindrome (213121444121312).

The spelling of 212110222110100 in words is "two hundred twelve trillion, one hundred ten billion, two hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 27539 55078 110156 137695 275390 550780 688475 927973 1376950 1855946 2285737 2753900 3711892 4571474 4639865 9142948 9279730 11428685 18559460 22857370 23199325 45714740 46398650 57143425 77021759 92797300 114286850 154043518 228573700 308087036 385108795 770217590 1540435180 1925543975 3851087950 7702175900 25555448447 51110896894 102221793788 127777242235 255554484470 511108968940 638886211175 1277772422350 2121102221101 2555544844700 4242204442202 8484408884404 10605511105505 21211022211010 42422044422020 53027555527525 106055111055050 212110222110100