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133330182300231 = 3759833389382567
BaseRepresentation
bin11110010100001101011010…
…001001110110001001000111
3122111002020111122112022020120
4132110031122021312021013
5114433440203132101411
61151323012402033023
740040534132205510
oct3624153211661107
9574066448468216
10133330182300231
1139535015aa8084
1212b54348348773
135951c9cca6927
1424cd302937a07
1510633560d5106
hex79435a276247

133330182300231 has 64 divisors (see below), whose sum is σ = 209164922265600. Its totient is φ = 73972937275776.

The previous prime is 133330182300193. The next prime is 133330182300299. The reversal of 133330182300231 is 132003281033331.

It is a happy number.

It is not a de Polignac number, because 133330182300231 - 214 = 133330182283847 is a prime.

It is a super-2 number, since 2×1333301823002312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133330182300192 and 133330182300201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133330182300131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348323310 + ... + 348705876.

It is an arithmetic number, because the mean of its divisors is an integer number (3268201910400).

Almost surely, 2133330182300231 is an apocalyptic number.

133330182300231 is a deficient number, since it is larger than the sum of its proper divisors (75834739965369).

133330182300231 is a wasteful number, since it uses less digits than its factorization.

133330182300231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386108.

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 133330182300231 in words is "one hundred thirty-three trillion, three hundred thirty billion, one hundred eighty-two million, three hundred thousand, two hundred thirty-one".

Divisors: 1 3 7 21 59 83 177 249 413 581 1239 1743 3389 4897 10167 14691 23723 34279 71169 102837 199951 281287 382567 599853 843861 1147701 1399657 1969009 2677969 4198971 5907027 8033907 16595933 22571453 31753061 49787799 67714359 95259183 116171531 158000171 222271427 348514593 474000513 666814281 1296519563 1873430599 3889558689 5620291797 9075636941 13114014193 27226910823 39342042579 76494654217 107611123729 229483962651 322833371187 535462579519 753277866103 1606387738557 2259833598309 6349056300011 19047168900033 44443394100077 133330182300231