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332330013 = 33233161283
BaseRepresentation
bin10011110011101…
…111010000011101
3212011100010002000
4103303233100131
51140034030023
652550552513
711143521111
oct2363572035
9764303060
10332330013
11160656504
1293368739
1353b0a4a2
14321cb741
151e298243
hex13cef41d

332330013 has 64 divisors (see below), whose sum is σ = 540917760. Its totient is φ = 201009600.

The previous prime is 332329999. The next prime is 332330017. The reversal of 332330013 is 310033233.

332330013 is a `hidden beast` number, since 332 + 330 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 332330013 - 210 = 332328989 is a prime.

It is a super-2 number, since 2×3323300132 = 220886475081160338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332330017) 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 63 ways as a sum of consecutive naturals, for example, 1174170 + ... + 1174452.

It is an arithmetic number, because the mean of its divisors is an integer number (8451840).

Almost surely, 2332330013 is an apocalyptic number.

It is an amenable number.

332330013 is a deficient number, since it is larger than the sum of its proper divisors (208587747).

332330013 is a wasteful number, since it uses less digits than its factorization.

332330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

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

The square root of 332330013 is about 18229.9208171621. The cubic root of 332330013 is about 692.6649117429.

Adding to 332330013 its reverse (310033233), we get a palindrome (642363246).

The spelling of 332330013 in words is "three hundred thirty-two million, three hundred thirty thousand, thirteen".

Divisors: 1 3 9 23 27 31 61 69 93 183 207 279 283 549 621 713 837 849 1403 1647 1891 2139 2547 4209 5673 6417 6509 7641 8773 12627 17019 17263 19251 19527 26319 37881 43493 51057 51789 58581 78957 130479 155367 175743 201779 236871 391437 397049 466101 535153 605337 1174311 1191147 1605459 1816011 3573441 4816377 5448033 10720323 12308519 14449131 36925557 110776671 332330013