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211153041 = 33112330911
BaseRepresentation
bin11001001010111…
…11000010010001
3112201022200112000
430211133002101
5413023344131
632541424213
75142525351
oct1445370221
9481280460
10211153041
11a9210450
125a86b069
1334990938
1420086b61
151380dce6
hexc95f091

211153041 has 32 divisors (see below), whose sum is σ = 356106240. Its totient is φ = 122403600.

The previous prime is 211153021. The next prime is 211153049. The reversal of 211153041 is 140351112.

It is not a de Polignac number, because 211153041 - 214 = 211136657 is a prime.

It is a super-3 number, since 3×2111530413 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (211153049) 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 31 ways as a sum of consecutive naturals, for example, 8625 + ... + 22286.

It is an arithmetic number, because the mean of its divisors is an integer number (11128320).

Almost surely, 2211153041 is an apocalyptic number.

It is an amenable number.

211153041 is a deficient number, since it is larger than the sum of its proper divisors (144953199).

211153041 is a wasteful number, since it uses less digits than its factorization.

211153041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30954 (or 30948 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 211153041 is about 14531.1059799315. The cubic root of 211153041 is about 595.4780810287.

The spelling of 211153041 in words is "two hundred eleven million, one hundred fifty-three thousand, forty-one".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 2277 6831 30911 92733 278199 340021 710953 834597 1020063 2132859 3060189 6398577 7820483 9180567 19195731 23461449 70384347 211153041