Search a number
-
+
132122322113331 = 31129142223970721
BaseRepresentation
bin11110000010101000100000…
…000100111001001100110011
3122022210202210210111022212210
4132002220200010321030303
5114304143003430111311
61145000053514223203
736554344211053614
oct3602504004711463
9568722723438783
10132122322113331
1139109842458260
121299a236424b03
13589510a11c074
14248aa7c53bc0b
151041c1131a3a6
hex782a20139333

132122322113331 has 32 divisors (see below), whose sum is σ = 198806350648320. Its totient is φ = 77312334310400.

The previous prime is 132122322113317. The next prime is 132122322113359. The reversal of 132122322113331 is 133311223221231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132122322113331 - 27 = 132122322113203 is a prime.

It is a super-2 number, since 2×1321223221133312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132122322113371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135622051 + ... + 136592771.

It is an arithmetic number, because the mean of its divisors is an integer number (6212698457760).

Almost surely, 2132122322113331 is an apocalyptic number.

132122322113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132122322113331 is a deficient number, since it is larger than the sum of its proper divisors (66684028534989).

132122322113331 is a wasteful number, since it uses less digits than its factorization.

132122322113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112987.

The product of its digits is 7776, while the sum is 30.

Adding to 132122322113331 its reverse (133311223221231), we get a palindrome (265433545334562).

The spelling of 132122322113331 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 957 142223 426669 970721 1564453 2912163 4124467 4693359 10677931 12373401 28150909 32033793 45369137 84452727 136107411 309659999 928979997 138058852783 414176558349 1518647380613 4003706730707 4555942141839 12011120192121 44040774037777 132122322113331