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212100002210120 = 23512742539817063
BaseRepresentation
bin110000001110011101100001…
…010010011110000101001000
31000210222120011211111210022212
4300032131201102132011020
5210300021301031210440
62031033221302004252
762450501531152163
oct6016354122360510
91023876154453285
10212100002210120
11616441188a27a2
121b956499716688
139146c37a8315b
143a539a2a7aada
15197c31b4d4465
hexc0e76149e148

212100002210120 has 64 divisors (see below), whose sum is σ = 481095823749120. Its totient is φ = 84152169609984.

The previous prime is 212100002210077. The next prime is 212100002210143. The reversal of 212100002210120 is 21012200001212.

It is a junction number, because it is equal to n+sod(n) for n = 212100002210095 and 212100002210104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16696709 + ... + 26513771.

It is an arithmetic number, because the mean of its divisors is an integer number (7517122246080).

Almost surely, 2212100002210120 is an apocalyptic number.

212100002210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100002210120 is an abundant number, since it is smaller than the sum of its proper divisors (268995821539000).

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

212100002210120 is a wasteful number, since it uses less digits than its factorization.

212100002210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9821454 (or 9821450 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100002210120 its reverse (21012200001212), we get a palindrome (233112202211332).

The spelling of 212100002210120 in words is "two hundred twelve trillion, one hundred billion, two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 4253 5080 8506 17012 21265 34024 42530 85060 170120 540131 1080262 2160524 2700655 4321048 5401310 9817063 10802620 19634126 21605240 39268252 49085315 78536504 98170630 196341260 392682520 1246767001 2493534002 4987068004 6233835005 9974136008 12467670010 24935340020 41751968939 49870680040 83503937878 167007875756 208759844695 334015751512 417519689390 835039378780 1670078757560 5302500055253 10605000110506 21210000221012 26512500276265 42420000442024 53025000552530 106050001105060 212100002210120