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211075117 = 11232812969
BaseRepresentation
bin11001001010011…
…00000000101101
3112201011201121221
430211030000231
5413013400432
632540023341
75142052231
oct1445140055
9481151557
10211075117
11a9167950
125a831b51
1334964326
14200665c1
15137e5b97
hexc94c02d

211075117 has 16 divisors (see below), whose sum is σ = 241211520. Its totient is φ = 182828800.

The previous prime is 211075103. The next prime is 211075133. The reversal of 211075117 is 711570112.

It is a de Polignac number, because none of the positive numbers 2k-211075117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211075091 and 211075100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211075157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69609 + ... + 72577.

It is an arithmetic number, because the mean of its divisors is an integer number (15075720).

Almost surely, 2211075117 is an apocalyptic number.

It is an amenable number.

211075117 is a deficient number, since it is larger than the sum of its proper divisors (30136403).

211075117 is a wasteful number, since it uses less digits than its factorization.

211075117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284.

The product of its (nonzero) digits is 490, while the sum is 25.

The square root of 211075117 is about 14528.4244500221. The cubic root of 211075117 is about 595.4048201953.

The spelling of 211075117 in words is "two hundred eleven million, seventy-five thousand, one hundred seventeen".

Divisors: 1 11 23 253 281 2969 3091 6463 32659 68287 71093 751157 834289 9177179 19188647 211075117