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211040112 = 2434396669
BaseRepresentation
bin11001001010000…
…11011101110000
3112201002221121110
430211003131300
5413011240422
632535153320
75141545203
oct1445033560
9481087543
10211040112
11a9143618
125a815840
133495140a
142005793a
15137da60c
hexc943770

211040112 has 20 divisors (see below), whose sum is σ = 545187080. Its totient is φ = 70346688.

The previous prime is 211040077. The next prime is 211040113.

It is a happy number.

211040112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211040113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2198287 + ... + 2198382.

It is an arithmetic number, because the mean of its divisors is an integer number (27259354).

Almost surely, 2211040112 is an apocalyptic number.

It is an amenable number.

211040112 is an abundant number, since it is smaller than the sum of its proper divisors (334146968).

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

211040112 is a wasteful number, since it uses less digits than its factorization.

211040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396680 (or 4396674 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 211040112 is about 14527.2196927010. The cubic root of 211040112 is about 595.3719041127.

The spelling of 211040112 in words is "two hundred eleven million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 4396669 8793338 13190007 17586676 26380014 35173352 52760028 70346704 105520056 211040112