Search a number
-
+
132123001231 = 1367227668243
BaseRepresentation
bin111101100001100100…
…1010000000110001111
3110122000212201212211001
41323003021100012033
54131041442014411
6140410234241131
712355062660214
oct1730311200617
9418025655731
10132123001231
115103aa98401
12217338861a7
13c5c7986b90
146575421b0b
153684420dc1
hex1ec325018f

132123001231 has 16 divisors (see below), whose sum is σ = 145046369664. Its totient is φ = 119609972064.

The previous prime is 132123001223. The next prime is 132123001279. The reversal of 132123001231 is 132100321231.

It is a cyclic number.

It is not a de Polignac number, because 132123001231 - 23 = 132123001223 is a prime.

It is a super-2 number, since 2×1321230012312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132123001199 and 132123001208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123008231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136405 + ... + 531838.

It is an arithmetic number, because the mean of its divisors is an integer number (9065398104).

Almost surely, 2132123001231 is an apocalyptic number.

132123001231 is a deficient number, since it is larger than the sum of its proper divisors (12923368433).

132123001231 is a wasteful number, since it uses less digits than its factorization.

132123001231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668550.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 132123001231 its reverse (132100321231), we get a palindrome (264223322462).

The spelling of 132123001231 in words is "one hundred thirty-two billion, one hundred twenty-three million, one thousand, two hundred thirty-one".

Divisors: 1 13 67 227 871 2951 15209 197717 668243 8687159 44772281 151691161 582039653 1971985093 10163307787 132123001231