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3132100413 = 331341217643
BaseRepresentation
bin1011101010110000…
…0000111100111101
322002021121012001000
42322230000330331
522403304203123
61234443440513
7140421262041
oct27254007475
98067535030
103132100413
111367a97442
12734b26139
133abb87070
14219d92021
15134e89b43
hexbab00f3d

3132100413 has 32 divisors (see below), whose sum is σ = 5118986880. Its totient is φ = 1880426880.

The previous prime is 3132100399. The next prime is 3132100421. The reversal of 3132100413 is 3140012313.

It is not a de Polignac number, because 3132100413 - 24 = 3132100397 is a prime.

It is a super-2 number, since 2×31321004132 = 19620105994229541138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132100423) 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 31 ways as a sum of consecutive naturals, for example, 94431 + ... + 123212.

It is an arithmetic number, because the mean of its divisors is an integer number (159968340).

Almost surely, 23132100413 is an apocalyptic number.

It is an amenable number.

3132100413 is a deficient number, since it is larger than the sum of its proper divisors (1986886467).

3132100413 is a wasteful number, since it uses less digits than its factorization.

3132100413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217706 (or 217700 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3132100413 is about 55965.1714283089. The cubic root of 3132100413 is about 1463.1153239817.

Adding to 3132100413 its reverse (3140012313), we get a palindrome (6272112726).

The spelling of 3132100413 in words is "three billion, one hundred thirty-two million, one hundred thousand, four hundred thirteen".

Divisors: 1 3 9 13 27 39 41 117 123 351 369 533 1107 1599 4797 14391 217643 652929 1958787 2829359 5876361 8488077 8923363 25464231 26770089 76392693 80310267 116003719 240930801 348011157 1044033471 3132100413