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213142527 = 32131821731
BaseRepresentation
bin11001011010001…
…00101111111111
3112212001202120200
430231010233333
5414031030102
633052214543
75165452533
oct1455045777
9485052520
10213142527
11aa34a154
125b46a453
1335209350
1420443bc3
1513aa351c
hexcb44bff

213142527 has 12 divisors (see below), whose sum is σ = 331555224. Its totient is φ = 131164560.

The previous prime is 213142519. The next prime is 213142537. The reversal of 213142527 is 725241312.

213142527 is a `hidden beast` number, since 2 + 131 + 4 + 2 + 527 = 666.

It is not a de Polignac number, because 213142527 - 23 = 213142519 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213142527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213142537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910749 + ... + 910982.

It is an arithmetic number, because the mean of its divisors is an integer number (27629602).

Almost surely, 2213142527 is an apocalyptic number.

213142527 is a deficient number, since it is larger than the sum of its proper divisors (118412697).

213142527 is a wasteful number, since it uses less digits than its factorization.

213142527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821750 (or 1821747 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 213142527 is about 14599.4015973258. The cubic root of 213142527 is about 597.3424379860.

Adding to 213142527 its reverse (725241312), we get a palindrome (938383839).

The spelling of 213142527 in words is "two hundred thirteen million, one hundred forty-two thousand, five hundred twenty-seven".

Divisors: 1 3 9 13 39 117 1821731 5465193 16395579 23682503 71047509 213142527