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330100312213 = 71131493378311
BaseRepresentation
bin1001100110110111000…
…00110000100010010101
31011120001020222022121101
410303123200300202111
520402021134442323
6411351311150101
732564123233540
oct4633340604225
91146036868541
10330100312213
11117aa4025391
1253b85b15331
1325188c16639
1411d96a1d857
1588beeeedad
hex4cdb830895

330100312213 has 32 divisors (see below), whose sum is σ = 384333580800. Its totient is φ = 277697064960.

The previous prime is 330100312193. The next prime is 330100312271. The reversal of 330100312213 is 312213001033.

It is not a de Polignac number, because 330100312213 - 213 = 330100304021 is a prime.

It is a super-2 number, since 2×3301003122132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330100312613) 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 31 ways as a sum of consecutive naturals, for example, 39714328 + ... + 39722638.

It is an arithmetic number, because the mean of its divisors is an integer number (12010424400).

Almost surely, 2330100312213 is an apocalyptic number.

It is an amenable number.

330100312213 is a deficient number, since it is larger than the sum of its proper divisors (54233268587).

330100312213 is a wasteful number, since it uses less digits than its factorization.

330100312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 330100312213 its reverse (312213001033), we get a palindrome (642313313246).

The spelling of 330100312213 in words is "three hundred thirty billion, one hundred million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 113 149 337 791 1043 2359 8311 16837 38081 50213 58177 117859 266567 351491 939143 1238339 2800807 5674069 6574001 8668373 19605649 39718483 139932307 316491191 417320243 979526149 2215438337 2921241701 47157187459 330100312213