Search a number
-
+
132332141011331 = 3123779137196549
BaseRepresentation
bin11110000101101011111010…
…010000011110000110000011
3122100112211101102202201021002
4132011223322100132012003
5114321112211044330311
61145240314001322215
736605452550214452
oct3605537220360603
9570484342681232
10132332141011331
113918a822788898
1212a12a3233636b
1358abb3775a051
142496ca46bcb99
1510473e17c793b
hex785afa41e183

132332141011331 has 16 divisors (see below), whose sum is σ = 136674039494400. Its totient is φ = 127994824995840.

The previous prime is 132332141011303. The next prime is 132332141011333. The reversal of 132332141011331 is 133110141233231.

It is a cyclic number.

It is not a de Polignac number, because 132332141011331 - 226 = 132332073902467 is a prime.

It is a super-3 number, since 3×1323321410113313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132332141011294 and 132332141011303.

It is not an unprimeable number, because it can be changed into a prime (132332141011333) 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 15 ways as a sum of consecutive naturals, for example, 673179845 + ... + 673376393.

It is an arithmetic number, because the mean of its divisors is an integer number (8542127468400).

Almost surely, 2132332141011331 is an apocalyptic number.

132332141011331 is a deficient number, since it is larger than the sum of its proper divisors (4341898483069).

132332141011331 is a wasteful number, since it uses less digits than its factorization.

132332141011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208094.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 132332141011331 its reverse (133110141233231), we get a palindrome (265442282244562).

The spelling of 132332141011331 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, one hundred forty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 31 2377 9137 73687 196549 283247 6093019 21718649 467196973 673278119 1795868213 14483106163 55671914603 4268778742301 132332141011331