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330100203329 = 13237103512531
BaseRepresentation
bin1001100110110111000…
…00010101111101000001
31011120001020202210020122
410303123200111331001
520402021123001304
6411351304550025
732564122301231
oct4633340257501
91146036683218
10330100203329
11117aa3a605a6
1253b85a82315
1325188ba8c00
1411d969d1cc1
1588beecc9be
hex4cdb815f41

330100203329 has 24 divisors (see below), whose sum is σ = 370671342912. Its totient is φ = 293593584960.

The previous prime is 330100203313. The next prime is 330100203341. The reversal of 330100203329 is 923302001033.

It is not a de Polignac number, because 330100203329 - 24 = 330100203313 is a prime.

It is a super-2 number, since 2×3301002033292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330100203298 and 330100203307.

It is not an unprimeable number, because it can be changed into a prime (330100203379) 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, 387794 + ... + 900324.

It is an arithmetic number, because the mean of its divisors is an integer number (15444639288).

Almost surely, 2330100203329 is an apocalyptic number.

It is an amenable number.

330100203329 is a deficient number, since it is larger than the sum of its proper divisors (40571139583).

330100203329 is a wasteful number, since it uses less digits than its factorization.

330100203329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512697 (or 512684 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The spelling of 330100203329 in words is "three hundred thirty billion, one hundred million, two hundred three thousand, three hundred twenty-nine".

Divisors: 1 13 37 103 169 481 1339 3811 6253 17407 49543 512531 644059 6662903 18963647 52790693 86617739 246527411 686279009 1953255641 3204856343 8921627117 25392323333 330100203329