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132114224302011 = 33743127167766477
BaseRepresentation
bin11110000010100000111101…
…011010001100011110111011
3122022202222220110000220002000
4132002200331122030132323
5114304024412410131021
61144552234202112043
736553636431565350
oct3602407532143673
9568688813026060
10132114224302011
1139106367453806
12129987564ab623
135894419550733
14248a510c92627
1510418da44db26
hex78283d68c7bb

132114224302011 has 128 divisors (see below), whose sum is σ = 232071388200960. Its totient is φ = 72719392104576.

The previous prime is 132114224301991. The next prime is 132114224302033. The reversal of 132114224302011 is 110203422411231.

132114224302011 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 4 + 22 + 430 + 201 + 1 = 666.

It is not a de Polignac number, because 132114224302011 - 25 = 132114224301979 is a prime.

It is a super-3 number, since 3×1321142243020113 (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (132114224202011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171982305 + ... + 172748781.

It is an arithmetic number, because the mean of its divisors is an integer number (1813057720320).

Almost surely, 2132114224302011 is an apocalyptic number.

132114224302011 is a deficient number, since it is larger than the sum of its proper divisors (99957163898949).

132114224302011 is a wasteful number, since it uses less digits than its factorization.

132114224302011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766830 (or 766824 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132114224302011 its reverse (110203422411231), we get a palindrome (242317646713242).

The spelling of 132114224302011 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred twenty-four million, three hundred two thousand, eleven".

Divisors: 1 3 7 9 21 27 43 63 127 129 167 189 301 381 387 501 889 903 1143 1161 1169 1503 2667 2709 3429 3507 4509 5461 7181 8001 8127 10521 16383 21209 21543 24003 31563 38227 49149 50267 63627 64629 114681 147447 148463 150801 190881 193887 344043 445389 452403 572643 766477 911987 1032129 1336167 1357209 2299431 2735961 4008501 5365339 6383909 6898293 8207883 16096017 19151727 20694879 24623649 32958511 48288051 57455181 97342579 98875533 128001659 144864153 172365543 230709577 292027737 296626599 384004977 681398053 692128731 876083211 889879797 896011613 1152014931 2044194159 2076386193 2628249633 2688034839 3456044793 4185730897 5504071337 6132582477 6229158579 8064104517 12557192691 16256210693 16512214011 18397747431 24192313551 29300116279 37671578073 38528499359 48768632079 49536642033 87900348837 113014734219 113793474851 115585498077 146305896237 148609926099 263701046511 341380424553 346756494231 438917688711 699017059799 791103139533 1024141273659 1040269482693 2097051179397 3072423820977 4893119418593 6291153538191 14679358255779 18873460614573 44038074767337 132114224302011