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2032122100200 = 233526750550301
BaseRepresentation
bin11101100100100011111…
…010100111100111101000
321012021021002020121112220
4131210203322213213220
5231243241224201300
64153313301034040
7266546610564663
oct35444372474750
97167232217486
102032122100200
117138aaa48135
12289a096b5920
1311982248465a
14704d8a986da
1537cd8086da0
hex1d923ea79e8

2032122100200 has 96 divisors (see below), whose sum is σ = 6393602196960. Its totient is φ = 533811168000.

The previous prime is 2032122100189. The next prime is 2032122100249. The reversal of 2032122100200 is 20012212302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2032122100200.

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 23 ways as a sum of consecutive naturals, for example, 25234951 + ... + 25315350.

It is an arithmetic number, because the mean of its divisors is an integer number (66600022885).

Almost surely, 22032122100200 is an apocalyptic number.

2032122100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032122100200 is an abundant number, since it is smaller than the sum of its proper divisors (4361480096760).

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

2032122100200 is a wasteful number, since it uses less digits than its factorization.

2032122100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50550387 (or 50550378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2032122100200 its reverse (20012212302), we get a palindrome (2052134312502).

The spelling of 2032122100200 in words is "two trillion, thirty-two billion, one hundred twenty-two million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 50550301 101100602 151650903 202201204 252751505 303301806 404402408 505503010 606603612 758254515 1011006020 1213207224 1263757525 1516509030 2022012040 2527515050 3033018060 3386870167 3791272575 5055030100 6066036120 6773740334 7582545150 10110060200 10160610501 13547480668 15165090300 16934350835 20321221002 27094961336 30330180600 33868701670 40642442004 50803052505 67737403340 81284884008 84671754175 101606105010 135474806680 169343508350 203212210020 254015262525 338687016700 406424420040 508030525050 677374033400 1016061050100 2032122100200