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131020023300120 = 23335313913381819
BaseRepresentation
bin11101110010100101111001…
…111100101000000000011000
3122011220101120200210202021000
4131302211321330220000120
5114133113001431100440
61142353433501145000
736411612213540003
oct3562457174500030
9564811520722230
10131020023300120
1138824309516939
121284068485b160
13581519acc5bb6
14244d58da3453a
1510231e8b2e730
hex772979f28018

131020023300120 has 128 divisors (see below), whose sum is σ = 450821585664000. Its totient is φ = 33811618907520.

The previous prime is 131020023300109. The next prime is 131020023300197. The reversal of 131020023300120 is 21003320020131.

131020023300120 is a `hidden beast` number, since 1 + 3 + 10 + 200 + 2 + 330 + 0 + 120 = 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 = 131020023300093 and 131020023300102.

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, 1956657430 + ... + 1956724389.

It is an arithmetic number, because the mean of its divisors is an integer number (3522043638000).

Almost surely, 2131020023300120 is an apocalyptic number.

131020023300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020023300120 is an abundant number, since it is smaller than the sum of its proper divisors (319801562363880).

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

131020023300120 is a wasteful number, since it uses less digits than its factorization.

131020023300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913381870 (or 3913381860 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131020023300120 its reverse (21003320020131), we get a palindrome (152023343320251).

The spelling of 131020023300120 in words is "one hundred thirty-one trillion, twenty billion, twenty-three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 3913381819 7826763638 11740145457 15653527276 19566909095 23480290914 31307054552 35220436371 39133818190 46960581828 58700727285 70440872742 78267636380 93921163656 105661309113 117401454570 121314836389 140881745484 156535272760 176102181855 211322618226 234802909140 242629672778 281763490968 352204363710 363944509167 422645236452 469605818280 485259345556 528306545565 606574181945 704408727420 727889018334 845290472904 970518691112 1056613091130 1091833527501 1213148363890 1408817454840 1455778036668 1819722545835 2113226182260 2183667055002 2426296727780 2911556073336 3275500582503 3639445091670 4226452364520 4367334110004 4852593455560 5459167637505 6551001165006 7278890183340 8734668220008 10918335275010 13102002330012 14557780366680 16377502912515 21836670550020 26204004660024 32755005825030 43673341100040 65510011650060 131020023300120