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211122211000 = 2353211122211
BaseRepresentation
bin1100010010011111011…
…1010100100010111000
3202011221110200112201011
43010213313110202320
511424334241223000
6240553241403304
721152543120101
oct3044767244270
9664843615634
10211122211000
1181599a90a18
1234b00499534
1316ba7665c0c
14a30b2c53a8
155759b042ba
hex3127dd48b8

211122211000 has 32 divisors (see below), whose sum is σ = 494025976080. Its totient is φ = 84448884000.

The previous prime is 211122210919. The next prime is 211122211007. The reversal of 211122211000 is 112221112.

211122211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122211007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105560106 + ... + 105562105.

Almost surely, 2211122211000 is an apocalyptic number.

211122211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122211000 is an abundant number, since it is smaller than the sum of its proper divisors (282903765080).

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

211122211000 is a wasteful number, since it uses less digits than its factorization.

211122211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211122232 (or 211122218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211122211000 its reverse (112221112), we get a palindrome (211234432112).

The spelling of 211122211000 in words is "two hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 211122211 422244422 844488844 1055611055 1688977688 2111222110 4222444220 5278055275 8444888440 10556110550 21112221100 26390276375 42224442200 52780552750 105561105500 211122211000