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330311130130332 = 2232131293415456839
BaseRepresentation
bin100101100011010101000110…
…1100100111010011110011100
31121022112102202120212120120200
41023012222031210322132130
5321243304143303132312
63130302501025543500
7126401122504510341
oct11306521544723634
91538472676776520
10330311130130332
119627a18884649a
12310686151a4b90
131124028a5301b0
145b7d2031ca7c8
15282c23cedd0dc
hex12c6a8d93a79c

330311130130332 has 72 divisors (see below), whose sum is σ = 899187415482720. Its totient is φ = 101633389476480.

The previous prime is 330311130130291. The next prime is 330311130130337. The reversal of 330311130130332 is 233031031113033.

330311130130332 is a `hidden beast` number, since 3 + 3 + 0 + 311 + 1 + 3 + 0 + 13 + 0 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330311130130296 and 330311130130305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330311130130337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57803169 + ... + 63260007.

Almost surely, 2330311130130332 is an apocalyptic number.

It is an amenable number.

330311130130332 is an abundant number, since it is smaller than the sum of its proper divisors (568876285352388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330311130130332 is a wasteful number, since it uses less digits than its factorization.

330311130130332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586203 (or 5586198 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 330311130130332 its reverse (233031031113033), we get a palindrome (563342161243365).

The spelling of 330311130130332 in words is "three hundred thirty trillion, three hundred eleven billion, one hundred thirty million, one hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 129341 258682 388023 517364 776046 1164069 1552092 1681433 2328138 3362866 4656276 5044299 5456839 6725732 10088598 10913678 15132897 16370517 20177196 21827356 30265794 32741034 49111551 60531588 65482068 70938907 98223102 141877814 196446204 212816721 283755628 425633442 638450163 851266884 1276900326 2553800652 705793013099 1411586026198 2117379039297 2823172052396 4234758078594 6352137117891 8469516157188 9175309170287 12704274235782 18350618340574 25408548471564 27525927510861 36701236681148 55051855021722 82577782532583 110103710043444 165155565065166 330311130130332