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133200423881217 = 327111974572134961
BaseRepresentation
bin11110010010010100100011…
…111100110000101000000001
3122110121211120120011122102200
4132102110203330300220001
5114424323432003144332
61151143232512503413
740025261450640060
oct3622244374605001
9573554516148380
10133200423881217
1139494a89831360
1212b3317454ab69
135942991187734
1424c6d135961d7
15105ecae59117c
hex792523f30a01

133200423881217 has 96 divisors (see below), whose sum is σ = 241621403721984. Its totient is φ = 68693106585600.

The previous prime is 133200423881183. The next prime is 133200423881243. The reversal of 133200423881217 is 712188324002331.

133200423881217 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 0 + 423 + 8 + 8 + 1 + 217 = 666.

It is not a de Polignac number, because 133200423881217 - 26 = 133200423881153 is a prime.

It is a super-2 number, since 2×1332004238812172 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133200423881257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61322617 + ... + 63457577.

It is an arithmetic number, because the mean of its divisors is an integer number (2516889622104).

Almost surely, 2133200423881217 is an apocalyptic number.

It is an amenable number.

133200423881217 is a deficient number, since it is larger than the sum of its proper divisors (108420979840767).

133200423881217 is a wasteful number, since it uses less digits than its factorization.

133200423881217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135639 (or 2135636 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 133200423881217 its reverse (712188324002331), we get a palindrome (845388747883548).

The spelling of 133200423881217 in words is "one hundred thirty-three trillion, two hundred billion, four hundred twenty-three million, eight hundred eighty-one thousand, two hundred seventeen".

Divisors: 1 3 7 9 11 21 33 63 77 99 197 231 457 591 693 1371 1379 1773 2167 3199 4113 4137 5027 6501 9597 12411 15081 15169 19503 28791 35189 45243 45507 90029 105567 136521 270087 316701 630203 810261 990319 1890609 2134961 2970957 5671827 6404883 6932233 8912871 14944727 19214649 20796699 23484571 44834181 62390097 70453713 134502543 164391997 211361139 420587317 493175991 975677177 1261761951 1479527973 2927031531 2944111219 3785285853 4626460487 6829740239 8781094593 8832333657 10732448947 13879381461 20489220717 26497000971 32197346841 32385223409 41638144383 61467662151 75127142629 96592040523 97155670227 192208403869 225381427887 291467010681 576625211607 676144283661 1345458827083 1729875634821 2114292442559 4036376481249 6342877327677 12109129443747 14800047097913 19028631983031 44400141293739 133200423881217