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133054232216103 = 3211101143914516373
BaseRepresentation
bin11110010000001100011010…
…001111110100001000100111
3122110002212020012202120220100
4132100030122033310020213
5114414430031421403403
61150552134230035143
740011564624201012
oct3620143217641047
9573085205676810
10133054232216103
1139438a8a407610
1212b0a9751a8ab3
135931c63900393
1424bdc05906379
15105b0a4ec72a3
hex79031a3f4227

133054232216103 has 96 divisors (see below), whose sum is σ = 212063506237440. Its totient is φ = 79717543200000.

The previous prime is 133054232216083. The next prime is 133054232216131. The reversal of 133054232216103 is 301612232450331.

133054232216103 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 4 + 2 + 32 + 2 + 1 + 610 + 3 = 666.

It is not a de Polignac number, because 133054232216103 - 217 = 133054232085031 is a prime.

It is a super-2 number, since 2×1330542322161032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133054232216203) 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, 20877798825 + ... + 20877805197.

It is an arithmetic number, because the mean of its divisors is an integer number (2208994856640).

Almost surely, 2133054232216103 is an apocalyptic number.

133054232216103 is a deficient number, since it is larger than the sum of its proper divisors (79009274021337).

133054232216103 is a wasteful number, since it uses less digits than its factorization.

133054232216103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9378 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 133054232216103 its reverse (301612232450331), we get a palindrome (434666464666434).

The spelling of 133054232216103 in words is "one hundred thirty-three trillion, fifty-four billion, two hundred thirty-two million, two hundred sixteen thousand, one hundred three".

Divisors: 1 3 9 11 33 99 101 303 909 1111 1439 1451 3333 4317 4353 6373 9999 12951 13059 15829 15961 19119 47487 47883 57357 70103 142461 143649 145339 146551 210309 436017 439653 630927 643673 1308051 1318959 1598729 1612061 1931019 2087989 4796187 4836183 5793057 6263967 7080403 9170747 9247223 14388561 14508549 18791901 21241209 22967879 27512241 27741669 63723627 68903637 82536723 83225007 100878217 101719453 206710911 210886889 302634651 305158359 632660667 907903953 915475077 926245447 933969523 1897982001 2319755779 2778736341 2801908569 6959267337 8336209023 8405725707 10188699917 10273664753 13306753897 20877802011 30566099751 30820994259 39920261691 91698299253 92462982777 119760785073 146374292867 439122878601 1317368635803 1343982143597 4031946430791 12095839292373 14783803579567 44351410738701 133054232216103