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20014224100 = 22521317905621
BaseRepresentation
bin10010101000111100…
…001101001011100100
31220122211021221001021
4102220330031023210
5311442120132400
613105554140524
71305654045403
oct225074151344
956584257037
1020014224100
118540564882
123a66881744
131b6c618070
14d7c14963a
157c212a71a
hex4a8f0d2e4

20014224100 has 72 divisors (see below), whose sum is σ = 49523033448. Its totient is φ = 6955161600.

The previous prime is 20014224091. The next prime is 20014224133. The reversal of 20014224100 is 142241002.

It can be written as a sum of positive squares in 12 ways, for example, as 4132175524 + 15882048576 = 64282^2 + 126024^2 .

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, 430711 + ... + 474910.

It is an arithmetic number, because the mean of its divisors is an integer number (687819909).

Almost surely, 220014224100 is an apocalyptic number.

20014224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20014224100 is an abundant number, since it is smaller than the sum of its proper divisors (29508809348).

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

20014224100 is a wasteful number, since it uses less digits than its factorization.

20014224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905665 (or 905658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20014224100 its reverse (142241002), we get a palindrome (20156465102).

The spelling of 20014224100 in words is "twenty billion, fourteen million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 905621 1811242 3622484 4528105 9056210 11773073 15395557 18112420 22640525 23546146 30791114 45281050 47092292 58865365 61582228 76977785 90562100 117730730 153955570 200142241 235461460 294326825 307911140 384888925 400284482 588653650 769777850 800568964 1000711205 1177307300 1539555700 2001422410 4002844820 5003556025 10007112050 20014224100