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210112022000100 = 2235211371720819181
BaseRepresentation
bin101111110001100010000100…
…011011110011000111100100
31000112221111212002000112110110
4233301202010123303013210
5210014433410113000400
62022512044054453020
762154043530163443
oct5761420433630744
91015844762015413
10210112022000100
1160a4800a8a0040
121b69514b064170
13903162b7c225c
1439c56946bad5a
151945768885e50
hexbf18846f31e4

210112022000100 has 144 divisors (see below), whose sum is σ = 681113998789056. Its totient is φ = 49559592384000.

The previous prime is 210112022000087. The next prime is 210112022000117. The reversal of 210112022000100 is 1000220211012.

210112022000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860287491 + ... + 860531690.

It is an arithmetic number, because the mean of its divisors is an integer number (4729958324924).

Almost surely, 2210112022000100 is an apocalyptic number.

210112022000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210112022000100 is an abundant number, since it is smaller than the sum of its proper divisors (471001976788956).

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

210112022000100 is a wasteful number, since it uses less digits than its factorization.

210112022000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720819246 (or 1720819239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210112022000100 its reverse (1000220211012), we get a palindrome (211112242211112).

The spelling of 210112022000100 in words is "two hundred ten trillion, one hundred twelve billion, twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 1720819181 3441638362 5162457543 6883276724 8604095905 10324915086 17208191810 18929010991 20649830172 25812287715 34416383620 37858021982 43020479525 51624575430 56787032973 63670309697 75716043964 86040959050 94645054955 103249150860 113574065946 127340619394 129061438575 172081918100 189290109910 191010929091 227148131892 254681238788 258122877150 283935164865 318351548485 378580219820 382021858182 473225274775 516245754300 567870329730 636703096970 700373406667 764043716364 946450549550 955054645455 1135740659460 1273406193940 1400746813334 1419675824325 1591757742425 1892901099100 1910109290910 2101120220001 2801493626668 2839351648650 3183515484850 3501867033335 3820218581820 4202240440002 4775273227275 5678703297300 6367030969700 7003734066670 8404480880004 9550546454550 10505601100005 14007468133340 17509335166675 19101092909100 21011202200010 35018670333350 42022404400020 52528005500025 70037340666700 105056011000050 210112022000100