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330100344042133 = 719671071699203771
BaseRepresentation
bin100101100001110010111100…
…1101111110011001010010101
31121021210021200112122211200011
41023003211321233303022111
5321231331001033322013
63130022000552320221
7126346651152356140
oct11303457157631225
91537707615584604
10330100344042133
11961a8851571615
12310337a93a3071
1311226437701c12
145b72d287dd057
152826a02b80c3d
hex12c3979bf3295

330100344042133 has 64 divisors (see below), whose sum is σ = 407048426496000. Its totient is φ = 261427631129280.

The previous prime is 330100344042103. The next prime is 330100344042187. The reversal of 330100344042133 is 331240443001033.

It is not a de Polignac number, because 330100344042133 - 233 = 330091754107541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330100344042095 and 330100344042104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330100344042103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1619855538 + ... + 1620059308.

It is an arithmetic number, because the mean of its divisors is an integer number (6360131664000).

Almost surely, 2330100344042133 is an apocalyptic number.

It is an amenable number.

330100344042133 is a deficient number, since it is larger than the sum of its proper divisors (76948082453867).

330100344042133 is a wasteful number, since it uses less digits than its factorization.

330100344042133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205670.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 330100344042133 its reverse (331240443001033), we get a palindrome (661340787043166).

The spelling of 330100344042133 in words is "three hundred thirty trillion, one hundred billion, three hundred forty-four million, forty-two thousand, one hundred thirty-three".

Divisors: 1 7 19 67 107 133 469 749 1273 1699 2033 7169 8911 11893 14231 32281 50183 113833 136211 181793 203771 225967 796831 953477 1272551 1426397 2162827 3454067 3871649 12180131 13652657 15139789 21803497 24178469 27101543 85260917 95568599 152624479 231422489 259400483 346206929 414266443 1460834299 1619957423 1815803381 2423448503 2899865101 6577931651 10225840093 23195864243 27755851681 37044141403 46045521557 162371049701 194290961767 259308989821 440721420617 703838686657 2481957474001 3085049944319 4926870806599 17373702318007 47157192006019 330100344042133