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113133303101133 = 3471092455174561
BaseRepresentation
bin11001101110010011100110…
…010101111111011011001101
3112211120102211102010020010000
4121232103212111333123031
5104312034001043214013
61040340415535234513
732554416500450520
oct3156234625773315
9484512742106100
10113133303101133
1133058623248847
1210831baa378a39
134b1856a1028a3
141dd1976c88bb7
15d12ccbc81973
hex66e4e657f6cd

113133303101133 has 80 divisors (see below), whose sum is σ = 194927209931520. Its totient is φ = 64051036416000.

The previous prime is 113133303101131. The next prime is 113133303101209. The reversal of 113133303101133 is 331101303331311.

113133303101133 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 330 + 310 + 1 + 13 + 3 = 666.

It is not a de Polignac number, because 113133303101133 - 21 = 113133303101131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113133303101097 and 113133303101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113133303101131) 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 79 ways as a sum of consecutive naturals, for example, 1517288173 + ... + 1517362733.

It is an arithmetic number, because the mean of its divisors is an integer number (2436590124144).

Almost surely, 2113133303101133 is an apocalyptic number.

It is an amenable number.

113133303101133 is a deficient number, since it is larger than the sum of its proper divisors (81793906830387).

113133303101133 is a wasteful number, since it uses less digits than its factorization.

113133303101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99240 (or 99231 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 113133303101133 its reverse (331101303331311), we get a palindrome (444234606432444).

The spelling of 113133303101133 in words is "one hundred thirteen trillion, one hundred thirty-three billion, three hundred three million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 81 109 189 327 567 763 981 2289 2943 6867 8829 20601 24551 61803 73653 74561 171857 220959 223683 515571 521927 662877 671049 1546713 1565781 1988631 2013147 2676059 4640139 4697343 6039441 8028177 8127149 13920417 14092029 18732413 24084531 24381447 42276087 56197239 56890043 72253593 73144341 168591717 170670129 216760779 219433023 505775151 512010387 658299069 1517325453 1536031161 1830547111 4608093483 5491641333 12813829777 16474923999 38441489331 49424771997 115324467993 148274315991 199529635099 345973403979 598588905297 1037920211937 1396707445693 1795766715891 4190122337079 5387300147673 12570367011237 16161900443019 37711101033711 113133303101133