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213376267 = 13231375209
BaseRepresentation
bin11001011011111…
…01110100001011
3112212111122012201
430231331310023
5414111020032
633101221031
75200445146
oct1455756413
9485448181
10213376267
11aa499825
125b561777
133528b860
14204a505d
1513aec8e7
hexcb7dd0b

213376267 has 16 divisors (see below), whose sum is σ = 241577280. Its totient is φ = 186988032.

The previous prime is 213376253. The next prime is 213376283. The reversal of 213376267 is 762673312.

It is a cyclic number.

It is not a de Polignac number, because 213376267 - 219 = 212851979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213376217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38359 + ... + 43567.

It is an arithmetic number, because the mean of its divisors is an integer number (15098580).

Almost surely, 2213376267 is an apocalyptic number.

213376267 is a deficient number, since it is larger than the sum of its proper divisors (28201013).

213376267 is a wasteful number, since it uses less digits than its factorization.

213376267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382.

The product of its digits is 63504, while the sum is 37.

The square root of 213376267 is about 14607.4045264722. The cubic root of 213376267 is about 597.5607141726.

It can be divided in two parts, 2133 and 76267, that added together give a square (78400 = 2802).

The spelling of 213376267 in words is "two hundred thirteen million, three hundred seventy-six thousand, two hundred sixty-seven".

Divisors: 1 13 23 137 299 1781 3151 5209 40963 67717 119807 713633 1557491 9277229 16413559 213376267