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330204144131 = 59103179401757
BaseRepresentation
bin1001100111000011011…
…00110110001000000011
31011120022111100112012222
410303201230312020003
520402224230103011
6411405500441255
732566523625521
oct4634154661003
91146274315188
10330204144131
111180476a3894
1253bb484922b
13251a459c344
1411da672b311
1588c91aeddb
hex4ce1b36203

330204144131 has 32 divisors (see below), whose sum is σ = 342257011200. Its totient is φ = 318441715200.

The previous prime is 330204144121. The next prime is 330204144143. The reversal of 330204144131 is 131441402033.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330204144131 is a prime.

It is a super-2 number, since 2×3302041441312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 330204144131.

It is not an unprimeable number, because it can be changed into a prime (330204144121) 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, 436200605 + ... + 436201361.

It is an arithmetic number, because the mean of its divisors is an integer number (10695531600).

Almost surely, 2330204144131 is an apocalyptic number.

330204144131 is a deficient number, since it is larger than the sum of its proper divisors (12052867069).

330204144131 is a wasteful number, since it uses less digits than its factorization.

330204144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 330204144131 its reverse (131441402033), we get a palindrome (461645546164).

The spelling of 330204144131 in words is "three hundred thirty billion, two hundred four million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 59 103 179 401 757 6077 10561 18437 23659 41303 44663 71779 77971 135503 303557 1087783 2436877 4234961 4600289 7393237 7994677 13956809 17909863 31266371 54336703 436200983 823451731 1844715889 3205865477 5596680409 330204144131