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211111111000 = 23531033204367
BaseRepresentation
bin1100010010011100110…
…0111110100101011000
3202011220200210121101001
43010213030332211120
511424323421023000
6240552203434344
721152346556426
oct3044714764530
9664820717331
10211111111000
118159379a369
1234ab88259b4
1316ba527a77a
14a309a36116
155758b6046a
hex312733e958

211111111000 has 64 divisors (see below), whose sum is σ = 494480638080. Its totient is φ = 84362284800.

The previous prime is 211111110923. The next prime is 211111111027. The reversal of 211111111000 is 111111112.

211111111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

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, 930817 + ... + 1135183.

It is an arithmetic number, because the mean of its divisors is an integer number (7726259970).

Almost surely, 2211111111000 is an apocalyptic number.

211111111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247240319040).

211111111000 is an abundant number, since it is smaller than the sum of its proper divisors (283369527080).

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

211111111000 is a wasteful number, since it uses less digits than its factorization.

211111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205421 (or 205407 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 211111111000 its reverse (111111112), we get a palindrome (211222222112).

The spelling of 211111111000 in words is "two hundred eleven billion, one hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1033 2066 4132 5165 8264 10330 20660 25825 41320 51650 103300 129125 204367 206600 258250 408734 516500 817468 1021835 1033000 1634936 2043670 4087340 5109175 8174680 10218350 20436700 25545875 40873400 51091750 102183500 204367000 211111111 422222222 844444444 1055555555 1688888888 2111111110 4222222220 5277777775 8444444440 10555555550 21111111100 26388888875 42222222200 52777777750 105555555500 211111111000