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211212112 = 2473917863
BaseRepresentation
bin11001001011011…
…01011101010000
3112201102200112211
430211231131100
5413032241422
632543001504
75143162516
oct1445553520
9481380484
10211212112
11a9250871
125a899294
13349b17a7
14200a04b6
1513821577
hexc96d750

211212112 has 20 divisors (see below), whose sum is σ = 409800160. Its totient is φ = 105457248.

The previous prime is 211212101. The next prime is 211212121.

211212112 is nontrivially palindromic in base 10.

211212112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112121122 = 89221112511001088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211212092 and 211212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2893 + ... + 20755.

It is an arithmetic number, because the mean of its divisors is an integer number (20490008).

Almost surely, 2211212112 is an apocalyptic number.

It is an amenable number.

211212112 is a deficient number, since it is larger than the sum of its proper divisors (198588048).

211212112 is a wasteful number, since it uses less digits than its factorization.

211212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18610 (or 18604 counting only the distinct ones).

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

The square root of 211212112 is about 14533.1384084787. The cubic root of 211212112 is about 595.5336050629.

The spelling of 211212112 in words is "two hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 739 1478 2956 5912 11824 17863 35726 71452 142904 285808 13200757 26401514 52803028 105606056 211212112