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132114214221133 = 17313767187953819
BaseRepresentation
bin11110000010100000111100…
…110011101111010101001101
3122022202222212202001201201011
4132002200330303233111031
5114304024402320034013
61144552233202045221
736553636250111134
oct3602407463572515
9568688782051634
10132114214221133
1139106361798901
1212998753049811
135894417431111
14248a50d7ca91b
1510418d960bc3d
hex78283ccef54d

132114214221133 has 64 divisors (see below), whose sum is σ = 150597074534400. Its totient is φ = 115268546257920.

The previous prime is 132114214221103. The next prime is 132114214221137. The reversal of 132114214221133 is 331122412411231.

It is a cyclic number.

It is not a de Polignac number, because 132114214221133 - 29 = 132114214220621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 132114214221095 and 132114214221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114214221137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2454760698 + ... + 2454814516.

It is an arithmetic number, because the mean of its divisors is an integer number (2353079289600).

Almost surely, 2132114214221133 is an apocalyptic number.

It is an amenable number.

132114214221133 is a deficient number, since it is larger than the sum of its proper divisors (18482860313267).

132114214221133 is a wasteful number, since it uses less digits than its factorization.

132114214221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55850.

The product of its digits is 6912, while the sum is 31.

Adding to 132114214221133 its reverse (331122412411231), we get a palindrome (463236626632364).

The spelling of 132114214221133 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred fourteen million, two hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 17 31 37 67 527 629 1139 1147 1879 2077 2479 19499 31943 35309 42143 53819 58249 69523 76849 125893 914923 990233 1181891 1306433 1668389 1991303 2140181 2155213 3605873 3902683 4658041 28362613 33852151 36638621 61299841 61730393 66345611 79186697 101125901 111782063 133417301 144399271 1049416681 1719140317 1900295071 2268094117 2454787607 3134902931 3741658337 4135936331 6775435367 53293349827 63608191729 70310917627 115182401239 115991408447 210038496377 250691108579 1971853943599 3570654438409 4261748845843 7771424365949 132114214221133