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213135633 = 3231763927
BaseRepresentation
bin11001011010000…
…11000100010001
3112212001102010100
430231003010101
5414030320013
633052123013
75165423454
oct1455030421
9485042110
10213135633
11aa344a57
125b466469
1335206179
142044149b
1513aa1473
hexcb43111

213135633 has 12 divisors (see below), whose sum is σ = 317794048. Its totient is φ = 137506680.

The previous prime is 213135623. The next prime is 213135653. The reversal of 213135633 is 336531312.

It is a happy number.

213135633 is a `hidden beast` number, since 2 + 13 + 13 + 5 + 633 = 666.

It is not a de Polignac number, because 213135633 - 26 = 213135569 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 213135597 and 213135606.

It is not an unprimeable number, because it can be changed into a prime (213135623) 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 11 ways as a sum of consecutive naturals, for example, 381685 + ... + 382242.

Almost surely, 2213135633 is an apocalyptic number.

It is an amenable number.

213135633 is a deficient number, since it is larger than the sum of its proper divisors (104658415).

213135633 is a wasteful number, since it uses less digits than its factorization.

213135633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763964 (or 763961 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 213135633 is about 14599.1654898491. The cubic root of 213135633 is about 597.3359976583.

Adding to 213135633 its reverse (336531312), we get a palindrome (549666945).

The spelling of 213135633 in words is "two hundred thirteen million, one hundred thirty-five thousand, six hundred thirty-three".

Divisors: 1 3 9 31 93 279 763927 2291781 6875343 23681737 71045211 213135633