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200210112022000 = 2453764913087339
BaseRepresentation
bin101101100001011100001100…
…100110111000010111110000
3222020212220021221110200111011
4231201130030212320113300
5202220220302134201000
61545451131123200304
760112463134116313
oct5541341446702760
9866786257420434
10200210112022000
115887a6a4851323
121a556089516094
13879396a55b012
143762314aa897a
151822dd014d2ba
hexb6170c9b85f0

200210112022000 has 80 divisors (see below), whose sum is σ = 484171378236000. Its totient is φ = 80073568819200.

The previous prime is 200210112021989. The next prime is 200210112022043. The reversal of 200210112022000 is 220211012002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8754331 + ... + 21841669.

It is an arithmetic number, because the mean of its divisors is an integer number (6052142227950).

Almost surely, 2200210112022000 is an apocalyptic number.

200210112022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210112022000 is an abundant number, since it is smaller than the sum of its proper divisors (283961266214000).

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

200210112022000 is a wasteful number, since it uses less digits than its factorization.

200210112022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095011 (or 13094995 counting only the distinct ones).

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

Adding to 200210112022000 its reverse (220211012002), we get a palindrome (200430323034002).

The spelling of 200210112022000 in words is "two hundred trillion, two hundred ten billion, one hundred twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 7649 15298 30596 38245 61192 76490 122384 152980 191225 305960 382450 611920 764900 956125 1529800 1912250 3059600 3824500 7649000 13087339 15298000 26174678 52349356 65436695 104698712 130873390 209397424 261746780 327183475 523493560 654366950 1046987120 1308733900 1635917375 2617467800 3271834750 5234935600 6543669500 13087339000 26174678000 100105056011 200210112022 400420224044 500525280055 800840448088 1001050560110 1601680896176 2002101120220 2502626400275 4004202240440 5005252800550 8008404480880 10010505601100 12513132001375 20021011202200 25026264002750 40042022404400 50052528005500 100105056011000 200210112022000