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330133233430 = 257112132998213
BaseRepresentation
bin1001100110111010111…
…10010101111100010110
31011120010112220220000201
410303131132111330112
520402103101432210
6411354444531114
732565003120010
oct4633536257426
91146115826021
10330133233430
11118010670600
1253b94b50a9a
13251929a2150
1411d9b14d1b0
1588c2d5453a
hex4cdd795f16

330133233430 has 96 divisors (see below), whose sum is σ = 803905123392. Its totient is φ = 94983356160.

The previous prime is 330133233413. The next prime is 330133233503. The reversal of 330133233430 is 34332331033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388997 + ... + 1609216.

It is an arithmetic number, because the mean of its divisors is an integer number (8374011702).

Almost surely, 2330133233430 is an apocalyptic number.

330133233430 is an abundant number, since it is smaller than the sum of its proper divisors (473771889962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330133233430 is a wasteful number, since it uses less digits than its factorization.

330133233430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998262 (or 2998251 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 28.

Adding to 330133233430 its reverse (34332331033), we get a palindrome (364465564463).

The spelling of 330133233430 in words is "three hundred thirty billion, one hundred thirty-three million, two hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 10010 11011 15730 22022 55055 110110 2998213 5996426 14991065 20987491 29982130 32980343 38976769 41974982 65960686 77953538 104937455 164901715 194883845 209874910 230862401 272837383 329803430 362783773 389767690 428744459 461724802 545674766 725567546 857488918 1154312005 1364186915 1813918865 2143722295 2308624010 2539486411 2728373830 3001211213 3627837730 4287444590 4716189049 5078972822 6002422426 9432378098 12697432055 15006056065 23580945245 25394864110 30012112130 33013323343 47161890490 66026646686 165066616715 330133233430