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30133200013020 = 223251357012258803
BaseRepresentation
bin1101101100111111011101…
…01011101100011011011100
310221200201001112000111201200
412312133232223230123130
512422200243200404040
6144031000113435500
76230023533666456
oct666375653543334
9127621045014650
1030133200013020
119668466922345
12346802386bb90
1313a77192884c0
147626518452d6
15373c78a3e630
hex1b67eeaec6dc

30133200013020 has 144 divisors (see below), whose sum is σ = 98452429918752. Its totient is φ = 7416098726400.

The previous prime is 30133200013001. The next prime is 30133200013027. The reversal of 30133200013020 is 2031000233103.

30133200013020 is a `hidden beast` number, since 30 + 1 + 332 + 0 + 0 + 0 + 1 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30133200012984 and 30133200013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30133200013027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12210939 + ... + 14469741.

Almost surely, 230133200013020 is an apocalyptic number.

30133200013020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30133200013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49226214959376).

30133200013020 is an abundant number, since it is smaller than the sum of its proper divisors (68319229905732).

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

30133200013020 is a wasteful number, since it uses less digits than its factorization.

30133200013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264532 (or 2264527 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30133200013020 its reverse (2031000233103), we get a palindrome (32164200246123).

The spelling of 30133200013020 in words is "thirty trillion, one hundred thirty-three billion, two hundred million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5701 11402 17103 22804 28505 34206 51309 57010 68412 74113 85515 102618 114020 148226 171030 205236 222339 256545 296452 342060 370565 444678 513090 667017 741130 889356 1026180 1111695 1334034 1482260 2223390 2258803 2668068 3335085 4446780 4517606 6670170 6776409 9035212 11294015 13340340 13552818 20329227 22588030 27105636 29364439 33882045 40658454 45176060 58728878 67764090 81316908 88093317 101646135 117457756 135528180 146822195 176186634 203292270 264279951 293644390 352373268 406584540 440466585 528559902 587288780 880933170 1057119804 1321399755 1761866340 2642799510 5285599020 12877435903 25754871806 38632307709 51509743612 64387179515 77264615418 115896923127 128774359030 154529230836 167406666739 193161538545 231793846254 257548718060 334813333478 386323077090 463587692508 502220000217 579484615635 669626666956 772646154180 837033333695 1004440000434 1158969231270 1506660000651 1674066667390 2008880000868 2317938462540 2511100001085 3013320001302 3348133334780 5022200002170 6026640002604 7533300003255 10044400004340 15066600006510 30133200013020