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332033013 = 3513105107
BaseRepresentation
bin10011110010100…
…110101111110101
3212010210000200000
4103302212233311
51140000024023
652540341513
711141143164
oct2362465765
9763700600
10332033013
11160473354
1293244899
1353a35250
14321513db
151e23a243
hex13ca6bf5

332033013 has 24 divisors (see below), whose sum is σ = 535630368. Its totient is φ = 204326064.

The previous prime is 332032979. The next prime is 332033071. The reversal of 332033013 is 310330233.

332033013 is a `hidden beast` number, since 3 + 320 + 330 + 13 = 666.

It is not a de Polignac number, because 332033013 - 213 = 332024821 is a prime.

It is a super-2 number, since 2×3320330132 = 220491843443716338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332033413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49395 + ... + 55712.

It is an arithmetic number, because the mean of its divisors is an integer number (22317932).

Almost surely, 2332033013 is an apocalyptic number.

It is an amenable number.

332033013 is a deficient number, since it is larger than the sum of its proper divisors (203597355).

332033013 is a wasteful number, since it uses less digits than its factorization.

332033013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105135 (or 105123 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 332033013 is about 18221.7730476482. The cubic root of 332033013 is about 692.4585076818.

Adding to 332033013 its reverse (310330233), we get a palindrome (642363246).

The spelling of 332033013 in words is "three hundred thirty-two million, thirty-three thousand, thirteen".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 105107 315321 945963 1366391 2837889 4099173 8513667 12297519 25541001 36892557 110677671 332033013