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132212212231 = 11222724119973
BaseRepresentation
bin111101100100001110…
…1100100001000000111
3110122021002121021022011
41323020131210020013
54131232311242411
6140423142315051
712360225155461
oct1731035441007
9418232537264
10132212212231
115108638aa00
1221759728a87
13c6102c0958
146583205131
15368c193c21
hex1ec8764207

132212212231 has 24 divisors (see below), whose sum is σ = 146577361392. Its totient is φ = 119160940800.

The previous prime is 132212212213. The next prime is 132212212241.

132212212231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132212212231 - 25 = 132212212199 is a prime.

It is a super-2 number, since 2×1322122122312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212212241) 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 23 ways as a sum of consecutive naturals, for example, 6609561 + ... + 6629533.

It is an arithmetic number, because the mean of its divisors is an integer number (6107390058).

Almost surely, 2132212212231 is an apocalyptic number.

132212212231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132212212231 is a deficient number, since it is larger than the sum of its proper divisors (14365149161).

132212212231 is a wasteful number, since it uses less digits than its factorization.

132212212231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20463 (or 20452 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

It can be divided in two parts, 132212 and 212231, that added together give a palindrome (344443).

The spelling of 132212212231 in words is "one hundred thirty-two billion, two hundred twelve million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 11 121 227 241 2497 2651 19973 27467 29161 54707 219703 601777 2416733 4533871 4813493 6619547 49872581 52948423 548598391 582432653 1092662911 12019292021 132212212231