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211432241002000 = 2453236094477789
BaseRepresentation
bin110000000100101111100111…
…100111100111011000010000
31000201121201120101222201001211
4300010233213213213120100
5210203101212144031000
62025402344113505504
762351322014430424
oct6004574747473020
91021551511881054
10211432241002000
1161406a01022657
121b868b99872294
1390c8c89772635
143a2d537278b84
151969c878867ba
hexc04be79e7610

211432241002000 has 80 divisors (see below), whose sum is σ = 511264927508400. Its totient is φ = 84569295283200.

The previous prime is 211432241001967. The next prime is 211432241002051. The reversal of 211432241002000 is 200142234112.

It can be written as a sum of positive squares in 8 ways, for example, as 81888599789824 + 129543641212176 = 9049232^2 + 11381724^2 .

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

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, 44979106 + ... + 49456894.

It is an arithmetic number, because the mean of its divisors is an integer number (6390811593855).

Almost surely, 2211432241002000 is an apocalyptic number.

211432241002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211432241002000 is an abundant number, since it is smaller than the sum of its proper divisors (299832686506400).

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

211432241002000 is a wasteful number, since it uses less digits than its factorization.

211432241002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501421 (or 4501405 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211432241002000 its reverse (200142234112), we get a palindrome (211632383236112).

The spelling of 211432241002000 in words is "two hundred eleven trillion, four hundred thirty-two billion, two hundred forty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 23609 47218 94436 118045 188872 236090 377744 472180 590225 944360 1180450 1888720 2360900 2951125 4477789 4721800 5902250 8955578 9443600 11804500 17911156 22388945 23609000 35822312 44777890 47218000 71644624 89555780 111944725 179111560 223889450 358223120 447778900 559723625 895557800 1119447250 1791115600 2238894500 4477789000 8955578000 105716120501 211432241002 422864482004 528580602505 845728964008 1057161205010 1691457928016 2114322410020 2642903012525 4228644820040 5285806025050 8457289640080 10571612050100 13214515062625 21143224100200 26429030125250 42286448200400 52858060250500 105716120501000 211432241002000