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20100112022200 = 23527212716149857
BaseRepresentation
bin1001001000111111011000…
…00010010111101010111000
32122011112220100220011110211
410210133230002113222320
510113310012134202300
6110425510342120504
74143120341123500
oct444375402275270
978145810804424
1020100112022200
11644a456256071
122307652a20134
13b2a5810860b2
144d6bca11ca00
1524ccb3d4c4ba
hex1247ec097ab8

20100112022200 has 144 divisors (see below), whose sum is σ = 54790654245120. Its totient is φ = 6837203036160.

The previous prime is 20100112022131. The next prime is 20100112022203. The reversal of 20100112022200 is 222021100102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100112022203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6830329 + ... + 9319528.

It is an arithmetic number, because the mean of its divisors is an integer number (380490654480).

Almost surely, 220100112022200 is an apocalyptic number.

20100112022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100112022200 is an abundant number, since it is smaller than the sum of its proper divisors (34690542222920).

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

20100112022200 is a wasteful number, since it uses less digits than its factorization.

20100112022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16150014 (or 16149998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20100112022200 its reverse (222021100102), we get a palindrome (20322133122302).

The spelling of 20100112022200 in words is "twenty trillion, one hundred billion, one hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 127 140 175 196 200 245 254 280 350 392 490 508 635 700 889 980 1016 1225 1270 1400 1778 1960 2450 2540 3175 3556 4445 4900 5080 6223 6350 7112 8890 9800 12446 12700 17780 22225 24892 25400 31115 35560 44450 49784 62230 88900 124460 155575 177800 248920 311150 622300 1244600 16149857 32299714 64599428 80749285 113048999 129198856 161498570 226097998 322997140 403746425 452195996 565244995 645994280 791342993 807492850 904391992 1130489990 1582685986 1614985700 2051031839 2260979980 2826224975 3165371972 3229971400 3956714965 4102063678 4521959960 5652449950 6330743944 7913429930 8204127356 10255159195 11304899900 14357222873 15826859860 16408254712 19783574825 20510318390 22609799800 28714445746 31653719720 39567149650 41020636780 51275795975 57428891492 71786114365 79134299300 82041273560 100500560111 102551591950 114857782984 143572228730 158268598600 201001120222 205103183900 287144457460 358930571825 402002240444 410206367800 502502800555 574288914920 717861143650 804004480888 1005005601110 1435722287300 2010011202220 2512514002775 2871444574600 4020022404440 5025028005550 10050056011100 20100112022200