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211012210100020 = 225717109813399931
BaseRepresentation
bin101111111110101000011011…
…110100111000011100110100
31000200010120101201202002021111
4233332220123310320130310
5210124211001241200040
62024441400541524404
762306062163606320
oct5776503364703464
91020116351662244
10211012210100020
116126485958510a
121b7bb6b6273704
13909849b229c94
143a1708ca68980
15195dda266adea
hexbfea1bd38734

211012210100020 has 96 divisors (see below), whose sum is σ = 541138706760960. Its totient is φ = 67466643793920.

The previous prime is 211012210099987. The next prime is 211012210100033. The reversal of 211012210100020 is 20001012210112.

It is a super-2 number, since 2×2110122101000202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406440546 + ... + 406959385.

It is an arithmetic number, because the mean of its divisors is an integer number (5636861528760).

Almost surely, 2211012210100020 is an apocalyptic number.

211012210100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012210100020 is an abundant number, since it is smaller than the sum of its proper divisors (330126496660940).

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

211012210100020 is a wasteful number, since it uses less digits than its factorization.

211012210100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813400073 (or 813400071 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211012210100020 its reverse (20001012210112), we get a palindrome (231013222310132).

The spelling of 211012210100020 in words is "two hundred eleven trillion, twelve billion, two hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 109 119 140 170 218 238 340 436 476 545 595 763 1090 1190 1526 1853 2180 2380 3052 3706 3815 7412 7630 9265 12971 15260 18530 25942 37060 51884 64855 129710 259420 813399931 1626799862 3253599724 4066999655 5693799517 8133999310 11387599034 13827798827 16267998620 22775198068 27655597654 28468997585 55311195308 56937995170 69138994135 88660592479 96794591789 113875990340 138277988270 177321184958 193589183578 276555976540 354642369916 387178367156 443302962395 483972958945 620624147353 886605924790 967945917890 1241248294706 1507230072143 1773211849580 1935891835780 2482496589412 3014460144286 3103120736765 6028920288572 6206241473530 7536150360715 10550610505001 12412482947060 15072300721430 21101221010002 30144601442860 42202442020004 52753052525005 105506105050010 211012210100020