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212201010101310 = 2352329100071059733
BaseRepresentation
bin110000001111111011100101…
…110100111111110000111110
31000211100012220020200022100220
4300033323211310333300332
5210303200132041220220
62031151444231402210
762461005564106026
oct6017734564776076
91024305806608326
10212201010101310
1161682a4115141a
121b971b88b23366
1391536143337c9
143a58825900a86
15197ec7de5d540
hexc0fee5d3fc3e

212201010101310 has 128 divisors (see below), whose sum is σ = 549805598484480. Its totient is φ = 52254927115776.

The previous prime is 212201010101309. The next prime is 212201010101387. The reversal of 212201010101310 is 13101010102212.

It is a super-2 number, since 2×2122010101013102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212201010101310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199710204 + ... + 200769936.

It is an arithmetic number, because the mean of its divisors is an integer number (4295356238160).

Almost surely, 2212201010101310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201010101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274902799242240).

212201010101310 is an abundant number, since it is smaller than the sum of its proper divisors (337604588383170).

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

212201010101310 is a wasteful number, since it uses less digits than its factorization.

212201010101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069802.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212201010101310 its reverse (13101010102212), we get a palindrome (225302020203522).

The spelling of 212201010101310 in words is "two hundred twelve trillion, two hundred one billion, ten million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 2001 3335 4002 6670 10005 10007 20010 20014 30021 50035 60042 100070 150105 230161 290203 300210 460322 580406 690483 870609 1059733 1150805 1380966 1451015 1741218 2119466 2301610 2902030 3179199 3452415 4353045 5298665 6358398 6674669 6904830 8706090 10597330 13349338 15895995 20024007 24373859 30732257 31791990 33373345 40048014 48747718 61464514 66746690 73121577 92196771 100120035 121869295 146243154 153661285 184393542 200240070 243738590 307322570 365607885 460983855 706841911 731215770 921967710 1413683822 2120525733 3534209555 4241051466 7068419110 10602628665 10604748131 21205257330 21209496262 31814244393 53023740655 63628488786 106047481310 159071221965 243909207013 307537695799 318142443930 487818414026 615075391598 731727621039 922613087397 1219546035065 1463455242078 1537688478995 1845226174794 2439092070130 3075376957990 3658638105195 4613065436985 7073367003377 7317276210390 9226130873970 14146734006754 21220101010131 35366835016885 42440202020262 70733670033770 106100505050655 212201010101310