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330203130133020 = 223579574571212439
BaseRepresentation
bin100101100010100010110100…
…0010001100111101000011100
31121022011002222212211021010020
41023011011220101213220130
5321240022002303224040
63130141120203112140
7126360250246622454
oct11305055021475034
91538132885737106
10330203130133020
11962383a7644a71
123104b6b4212650
13112330384ab941
145b77cb98a2d64
15282951b7a8cd0
hex12c5168467a1c

330203130133020 has 96 divisors (see below), whose sum is σ = 936289233868800. Its totient is φ = 86937973484544.

The previous prime is 330203130132983. The next prime is 330203130133031. The reversal of 330203130133020 is 20331031302033.

It is a super-4 number, since 4×3302031301330204 (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271739961 + ... + 272952399.

It is an arithmetic number, because the mean of its divisors is an integer number (9753012852800).

Almost surely, 2330203130133020 is an apocalyptic number.

330203130133020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330203130133020 is an abundant number, since it is smaller than the sum of its proper divisors (606086103735780).

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

330203130133020 is a wasteful number, since it uses less digits than its factorization.

330203130133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269987 (or 1269985 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 330203130133020 its reverse (20331031302033), we get a palindrome (350534161435053).

The spelling of 330203130133020 in words is "three hundred thirty trillion, two hundred three billion, one hundred thirty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 57457 114914 172371 229828 287285 344742 574570 689484 861855 1149140 1212439 1723710 2424878 3447420 3637317 4539103 4849756 6062195 7274634 9078206 12124390 13617309 14549268 18156412 18186585 22695515 24248780 27234618 36373170 45391030 54469236 68086545 72746340 90782060 95782681 136173090 191565362 272346180 287348043 383130724 478913405 574696086 957826810 1149392172 1436740215 1915653620 2873480430 5746960860 69663107623 139326215246 208989322869 278652430492 348315538115 417978645738 696631076230 835957291476 1044946614345 1393262152460 2089893228690 4179786457380 5503385502217 11006771004434 16510156506651 22013542008868 27516927511085 33020313013302 55033855022170 66040626026604 82550782533255 110067710044340 165101565066510 330203130133020