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20214101100200 = 2352717849331979
BaseRepresentation
bin1001001100010011101100…
…10100001100011010101000
32122120110010110110022010112
410212021312110030122220
510122141434340201300
6110554121351433452
74154264161241120
oct446116624143250
978513113408115
1020214101100200
1164938300aa557
122325765685888
13b38248b4c287
144dc521011c80
15250c3625de35
hex12627650c6a8

20214101100200 has 96 divisors (see below), whose sum is σ = 56871269380800. Its totient is φ = 6522869591040.

The previous prime is 20214101100133. The next prime is 20214101100227. The reversal of 20214101100200 is 200110141202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424642190 + ... + 424689789.

It is an arithmetic number, because the mean of its divisors is an integer number (592409056050).

Almost surely, 220214101100200 is an apocalyptic number.

20214101100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20214101100200 is an abundant number, since it is smaller than the sum of its proper divisors (36657168280600).

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

20214101100200 is a wasteful number, since it uses less digits than its factorization.

20214101100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849332019 (or 849332010 counting only the distinct ones).

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

Adding to 20214101100200 its reverse (200110141202), we get a palindrome (20414211241402).

The spelling of 20214101100200 in words is "twenty trillion, two hundred fourteen billion, one hundred one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 849331979 1698663958 3397327916 4246659895 5945323853 6794655832 8493319790 11890647706 14438643643 16986639580 21233299475 23781295412 28877287286 29726619265 33973279160 42466598950 47562590824 57754574572 59453238530 72193218215 84933197900 101070505501 115509149144 118906477060 144386436430 148633096325 169866395800 202141011002 237812954120 288772872860 297266192650 360966091075 404282022004 505352527505 577545745720 594532385300 721932182150 808564044008 1010705055010 1189064770600 1443864364300 2021410110020 2526762637525 2887728728600 4042820220040 5053525275050 10107050550100 20214101100200