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330133013 = 71729271353
BaseRepresentation
bin10011101011010…
…110111000010101
3212000012111100122
4103223112320111
51134003224023
652431521325
711116040630
oct2353267025
9760174318
10330133013
1115a395901
1292689245
135351b4a2
1431bb8c17
151deb22c8
hex13ad6e15

330133013 has 32 divisors (see below), whose sum is σ = 415964160. Its totient is φ = 255467520.

The previous prime is 330133009. The next prime is 330133049. The reversal of 330133013 is 310331033.

It is not a de Polignac number, because 330133013 - 22 = 330133009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 330132982 and 330133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330133073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935045 + ... + 935397.

It is an arithmetic number, because the mean of its divisors is an integer number (12998880).

Almost surely, 2330133013 is an apocalyptic number.

It is an amenable number.

330133013 is a deficient number, since it is larger than the sum of its proper divisors (85831147).

330133013 is a wasteful number, since it uses less digits than its factorization.

330133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 330133013 is about 18169.5628180757. The cubic root of 330133013 is about 691.1351566027.

Adding to 330133013 its reverse (310331033), we get a palindrome (640464046).

The spelling of 330133013 in words is "three hundred thirty million, one hundred thirty-three thousand, thirteen".

Divisors: 1 7 17 29 119 203 271 353 493 1897 2471 3451 4607 6001 7859 10237 32249 42007 55013 71659 95663 133603 174029 669641 935221 1218203 1626271 2774227 11383897 19419589 47161859 330133013