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4000521213 = 321334192489
BaseRepresentation
bin1110111001110011…
…0001101111111101
3101022210200112102100
43232130301233331
531143113134323
61500545015313
7201064604103
oct35634615775
911283615370
104000521213
11177320a887
12937924539
134b9a74a20
1429d44bc73
15186329943
hexee731bfd

4000521213 has 12 divisors (see below), whose sum is σ = 6223033180. Its totient is φ = 2461859136.

The previous prime is 4000521197. The next prime is 4000521229. The reversal of 4000521213 is 3121250004.

4000521213 is a `hidden beast` number, since 400 + 0 + 52 + 1 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (4000521197) and next prime (4000521229).

It can be written as a sum of positive squares in 2 ways, for example, as 1624251204 + 2376270009 = 40302^2 + 48747^2 .

It is not a de Polignac number, because 4000521213 - 24 = 4000521197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000529213) 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, 17096128 + ... + 17096361.

Almost surely, 24000521213 is an apocalyptic number.

It is an amenable number.

4000521213 is a deficient number, since it is larger than the sum of its proper divisors (2222511967).

4000521213 is a wasteful number, since it uses less digits than its factorization.

4000521213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34192508 (or 34192505 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4000521213 is about 63249.6736197113. The cubic root of 4000521213 is about 1587.4699968124.

Adding to 4000521213 its reverse (3121250004), we get a palindrome (7121771217).

The spelling of 4000521213 in words is "four billion, five hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 34192489 102577467 307732401 444502357 1333507071 4000521213