Search a number
-
+
132321163530114 = 232134113792074581
BaseRepresentation
bin11110000101100001101011…
…111100101100111110000010
3122100111210001101200212222200
4132011201223330230332002
5114320422220330430424
61145231300420014030
736604613533161156
oct3605415374547602
9570453041625880
10132321163530114
11391860aa230769
1212a10889b31316
1358aaaa83b8430
1424965427d1066
151046e9cbd58c9
hex78586bf2cf82

132321163530114 has 48 divisors (see below), whose sum is σ = 316279854314424. Its totient is φ = 39721174790400.

The previous prime is 132321163529987. The next prime is 132321163530119. The reversal of 132321163530114 is 411035361123231.

132321163530114 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 1 + 1 + 6 + 3 + 530 + 114 = 666.

132321163530114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25137237827025 + 107183925703089 = 5013705^2 + 10352967^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132321163530119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6896027697 + ... + 6896046884.

Almost surely, 2132321163530114 is an apocalyptic number.

132321163530114 is an abundant number, since it is smaller than the sum of its proper divisors (183958690784310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132321163530114 is a wasteful number, since it uses less digits than its factorization.

132321163530114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13792074643 (or 13792074640 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 132321163530114 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, one hundred sixty-three million, five hundred thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 13792074581 27584149162 41376223743 82752447486 124128671229 179296969553 248257342458 358593939106 537890908659 565475057821 1075781817318 1130950115642 1613672725977 1696425173463 3227345451954 3392850346926 5089275520389 7351175751673 10178551040778 14702351503346 22053527255019 44107054510038 66160581765057 132321163530114