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211012022000 = 2453138115847
BaseRepresentation
bin1100010010000101001…
…0111110111011110000
3202011122210100100211002
43010201102332323300
511424123034201000
6240534303541132
721150034410263
oct3044122767360
9664583310732
10211012022000
118154287032a
1234a8b5ba7a8
1316b8a895820
14a2da800cda
1557500da8d5
hex31214beef0

211012022000 has 80 divisors (see below), whose sum is σ = 549475372992. Its totient is φ = 77912121600.

The previous prime is 211012021993. The next prime is 211012022021. The reversal of 211012022000 is 220210112.

It is a happy number.

211012022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4031924 + ... + 4083923.

Almost surely, 2211012022000 is an apocalyptic number.

211012022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012022000 is an abundant number, since it is smaller than the sum of its proper divisors (338463350992).

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

211012022000 is a wasteful number, since it uses less digits than its factorization.

211012022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115883 (or 8115867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211012022000 its reverse (220210112), we get a palindrome (211232232112).

The spelling of 211012022000 in words is "two hundred eleven billion, twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 8115847 16231694 32463388 40579235 64926776 81158470 105506011 129853552 162316940 202896175 211012022 324633880 405792350 422024044 527530055 649267760 811584700 844048088 1014480875 1055060110 1623169400 1688096176 2028961750 2110120220 2637650275 3246338800 4057923500 4220240440 5275300550 8115847000 8440480880 10550601100 13188251375 16231694000 21101202200 26376502750 42202404400 52753005500 105506011000 211012022000