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120882213 = 343734001
BaseRepresentation
bin1110011010010…
…00010000100101
322102110110020000
413031020100211
5221421212323
615554531513
72665324164
oct715102045
9272413200
10120882213
1162264661
1234596b99
131c07564a
14120a93db
15a92be43
hex7348425

120882213 has 20 divisors (see below), whose sum is σ = 181106508. Its totient is φ = 80352000.

The previous prime is 120882191. The next prime is 120882221. The reversal of 120882213 is 312288021.

It can be written as a sum of positive squares in 2 ways, for example, as 29354724 + 91527489 = 5418^2 + 9567^2 .

It is not a de Polignac number, because 120882213 - 26 = 120882149 is a prime.

It is a super-2 number, since 2×1208822132 = 29225018839554738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120882613) 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 19 ways as a sum of consecutive naturals, for example, 28213 + ... + 32213.

Almost surely, 2120882213 is an apocalyptic number.

It is an amenable number.

120882213 is a deficient number, since it is larger than the sum of its proper divisors (60224295).

120882213 is an equidigital number, since it uses as much as digits as its factorization.

120882213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 120882213 is about 10994.6447418732. The cubic root of 120882213 is about 494.4482005391.

The spelling of 120882213 in words is "one hundred twenty million, eight hundred eighty-two thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 373 1119 3357 4001 10071 12003 30213 36009 108027 324081 1492373 4477119 13431357 40294071 120882213