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211223213000 = 23531251116883
BaseRepresentation
bin1100010010110111100…
…0100111001111001000
3202012012111201222101222
43010231320213033020
511430041120304000
6241011250301212
721155210454422
oct3045570471710
9665174658358
10211223213000
1181640aa7248
1234b2a287808
1316bc256a807
14a31a897812
155763905a85
hex312de273c8

211223213000 has 64 divisors (see below), whose sum is σ = 494331102720. Its totient is φ = 84477528000.

The previous prime is 211223212997. The next prime is 211223213017. The reversal of 211223213000 is 312322112.

211223213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 211223213000.

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, 12502559 + ... + 12519441.

It is an arithmetic number, because the mean of its divisors is an integer number (7723923480).

Almost surely, 2211223213000 is an apocalyptic number.

211223213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211223213000 is an abundant number, since it is smaller than the sum of its proper divisors (283107889720).

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

211223213000 is a wasteful number, since it uses less digits than its factorization.

211223213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29415 (or 29401 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 211223213000 its reverse (312322112), we get a palindrome (211535535112).

The spelling of 211223213000 in words is "two hundred eleven billion, two hundred twenty-three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12511 16883 25022 33766 50044 62555 67532 84415 100088 125110 135064 168830 250220 312775 337660 422075 500440 625550 675320 844150 1251100 1563875 1688300 2110375 2502200 3127750 3376600 4220750 6255500 8441500 12511000 16883000 211223213 422446426 844892852 1056116065 1689785704 2112232130 4224464260 5280580325 8448928520 10561160650 21122321300 26402901625 42244642600 52805803250 105611606500 211223213000