Search a number
-
+
132222022211322 = 23246176920720681
BaseRepresentation
bin11110000100000101010110…
…101010100101011011111010
3122100011022011001211001220200
4132010011112222211123322
5114312311200141230242
61145113543005303030
736564503653651341
oct3604052652453372
9570138131731820
10132222022211322
113914805457655a
12129b561b864a76
1358a16387664a4
142491819812b58
1510445e906504c
hex784156aa56fa

132222022211322 has 48 divisors (see below), whose sum is σ = 287475841172520. Its totient is φ = 43921210982400.

The previous prime is 132222022211303. The next prime is 132222022211329. The reversal of 132222022211322 is 223112220222231.

132222022211322 is a `hidden beast` number, since 1 + 3 + 222 + 202 + 2 + 211 + 3 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64257843177801 + 67964179033521 = 8016099^2 + 8244039^2 .

It is not an unprimeable number, because it can be changed into a prime (132222022211329) 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, 3979179 + ... + 16741502.

Almost surely, 2132222022211322 is an apocalyptic number.

132222022211322 is an abundant number, since it is smaller than the sum of its proper divisors (155253818961198).

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

132222022211322 is a wasteful number, since it uses less digits than its factorization.

132222022211322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20721919 (or 20721916 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132222022211322 its reverse (223112220222231), we get a palindrome (355334242433553).

The spelling of 132222022211322 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, twenty-two million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 461 769 922 1383 1538 2307 2766 4149 4614 6921 8298 13842 354509 709018 1063527 2127054 3190581 6381162 20720681 41441362 62162043 124324086 186486129 372972258 9552233941 15934203689 19104467882 28656701823 31868407378 47802611067 57313403646 85970105469 95605222134 143407833201 171940210938 286815666402 7345667900629 14691335801258 22037003701887 44074007403774 66111011105661 132222022211322