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211116381 = 3727736293
BaseRepresentation
bin11001001010101…
…10000101011101
3112201020211020020
430211112011131
5413021211011
632540542353
75142313440
oct1445260535
9481224206
10211116381
11a9195953
125a8519b9
133497a048
1420077657
1513803006
hexc95615d

211116381 has 16 divisors (see below), whose sum is σ = 322871424. Its totient is φ = 120199104.

The previous prime is 211116377. The next prime is 211116419. The reversal of 211116381 is 183611112.

211116381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211116381 - 22 = 211116377 is a prime.

It is a super-2 number, since 2×2111163812 = 89140252653074322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211116341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12330 + ... + 23963.

It is an arithmetic number, because the mean of its divisors is an integer number (20179464).

Almost surely, 2211116381 is an apocalyptic number.

211116381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211116381 is a deficient number, since it is larger than the sum of its proper divisors (111755043).

211116381 is a wasteful number, since it uses less digits than its factorization.

211116381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36580.

The product of its digits is 288, while the sum is 24.

The square root of 211116381 is about 14529.8444933179. The cubic root of 211116381 is about 595.4436171001.

Adding to 211116381 its reverse (183611112), we get a palindrome (394727493).

The spelling of 211116381 in words is "two hundred eleven million, one hundred sixteen thousand, three hundred eighty-one".

Divisors: 1 3 7 21 277 831 1939 5817 36293 108879 254051 762153 10053161 30159483 70372127 211116381