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322142013 = 32792831601
BaseRepresentation
bin10011001100110…
…111111100111101
3211110011111202200
4103030313330331
51124432021023
651544342113
710661106354
oct2314677475
9743144680
10322142013
11155928076
128ba74939
135198119b
1430ad899b
151d434743
hex13337f3d

322142013 has 24 divisors (see below), whose sum is σ = 473166720. Its totient is φ = 211161600.

The previous prime is 322141999. The next prime is 322142021. The reversal of 322142013 is 310241223.

It is not a de Polignac number, because 322142013 - 210 = 322140989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322142113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200413 + ... + 202013.

It is an arithmetic number, because the mean of its divisors is an integer number (19715280).

Almost surely, 2322142013 is an apocalyptic number.

It is an amenable number.

322142013 is a deficient number, since it is larger than the sum of its proper divisors (151024707).

322142013 is a wasteful number, since it uses less digits than its factorization.

322142013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 322142013 is about 17948.3150462655. The cubic root of 322142013 is about 685.5131488012.

Adding to 322142013 its reverse (310241223), we get a palindrome (632383236).

The spelling of 322142013 in words is "three hundred twenty-two million, one hundred forty-two thousand, thirteen".

Divisors: 1 3 9 79 237 283 711 849 1601 2547 4803 14409 22357 67071 126479 201213 379437 453083 1138311 1359249 4077747 35793557 107380671 322142013