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330130103331 = 37176689138247
BaseRepresentation
bin1001100110111010100…
…10011001110000100011
31011120010100000212100010
410303131102121300203
520402101301301311
6411354253500003
732564634402240
oct4633522316043
91146110025303
10330130103331
11118009922946
1253b93aa1603
1325192147512
1411d9a9765c7
1588c2936da6
hex4cdd499c23

330130103331 has 32 divisors (see below), whose sum is σ = 532730373120. Its totient is φ = 177521135616.

The previous prime is 330130103323. The next prime is 330130103333. The reversal of 330130103331 is 133301031033.

It is not a de Polignac number, because 330130103331 - 23 = 330130103323 is a prime.

It is a super-2 number, since 2×3301301033312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 330130103298 and 330130103307.

It is not an unprimeable number, because it can be changed into a prime (330130103333) 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 31 ways as a sum of consecutive naturals, for example, 2318850 + ... + 2457096.

It is an arithmetic number, because the mean of its divisors is an integer number (16647824160).

Almost surely, 2330130103331 is an apocalyptic number.

330130103331 is a deficient number, since it is larger than the sum of its proper divisors (202600269789).

330130103331 is a wasteful number, since it uses less digits than its factorization.

330130103331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144963.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 330130103331 its reverse (133301031033), we get a palindrome (463431134364).

The spelling of 330130103331 in words is "three hundred thirty billion, one hundred thirty million, one hundred three thousand, three hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 6689 20067 46823 113713 138247 140469 341139 414741 795991 967729 2350199 2387973 2903187 7050597 16451393 49354179 924734183 2774202549 6473139281 15720481111 19419417843 47161443333 110043367777 330130103331