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211012202002200 = 23352625395623483
BaseRepresentation
bin101111111110101000011011…
…010101111111011100011000
31000200010120101011111200011020
4233332220123111333130120
5210124210442203032300
62024441400052202440
762306062035021444
oct5776503325773430
91020116334450136
10211012202002200
1161264854a540a5
121b7bb6b3609420
139098499653181
143a1708b95b824
15195dda1abb8a0
hexbfea1b57f718

211012202002200 has 96 divisors (see below), whose sum is σ = 654148402209600. Its totient is φ = 56269010770560.

The previous prime is 211012202002139. The next prime is 211012202002211. The reversal of 211012202002200 is 2200202210112.

It is a super-2 number, since 2×2110122020022002 (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 self number, because there is not a number n which added to its sum of digits gives 211012202002200.

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, 34711659 + ... + 40335141.

It is an arithmetic number, because the mean of its divisors is an integer number (6814045856350).

Almost surely, 2211012202002200 is an apocalyptic number.

211012202002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012202002200 is an abundant number, since it is smaller than the sum of its proper divisors (443136200207400).

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

211012202002200 is a wasteful number, since it uses less digits than its factorization.

211012202002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686041 (or 5686032 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211012202002200 its reverse (2200202210112), we get a palindrome (213212404212312).

The spelling of 211012202002200 in words is "two hundred eleven trillion, twelve billion, two hundred two million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 62539 125078 187617 250156 312695 375234 500312 625390 750468 938085 1250780 1500936 1563475 1876170 2501560 3126950 3752340 4690425 5623483 6253900 7504680 9380850 11246966 12507800 16870449 18761700 22493932 28117415 33740898 37523400 44987864 56234830 67481796 84352245 112469660 134963592 140587075 168704490 224939320 281174150 337408980 421761225 562348300 674817960 843522450 1124696600 1687044900 3374089800 351687003337 703374006674 1055061010011 1406748013348 1758435016685 2110122020022 2813496026696 3516870033370 4220244040044 5275305050055 7033740066740 8440488080088 8792175083425 10550610100110 14067480133480 17584350166850 21101220200220 26376525250275 35168700333700 42202440400440 52753050500550 70337400667400 105506101001100 211012202002200