Search a number
-
+
132112202200013 = 725215174985397
BaseRepresentation
bin11110000010011111000100…
…111000011111001111001101
3122022202210200112002110121102
4132002133010320133033031
5114304011242230400023
61144551301405312445
736553535346161300
oct3602370470371715
9568683615073542
10132112202200013
1139105519a90632
1212998291265725
135894186638289
14248a39c4c2b37
15104181cb72628
hex7827c4e1f3cd

132112202200013 has 12 divisors (see below), whose sum is σ = 153976515532092. Its totient is φ = 113021681048640.

The previous prime is 132112202200009. The next prime is 132112202200063. The reversal of 132112202200013 is 310002202211231.

It can be written as a sum of positive squares in 2 ways, for example, as 72218502433609 + 59893699766404 = 8498147^2 + 7739102^2 .

It is not a de Polignac number, because 132112202200013 - 22 = 132112202200009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112202200063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2587467170 + ... + 2587518227.

It is an arithmetic number, because the mean of its divisors is an integer number (12831376294341).

Almost surely, 2132112202200013 is an apocalyptic number.

It is an amenable number.

132112202200013 is a deficient number, since it is larger than the sum of its proper divisors (21864313332079).

132112202200013 is an equidigital number, since it uses as much as digits as its factorization.

132112202200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174985932 (or 5174985925 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132112202200013 its reverse (310002202211231), we get a palindrome (442114404411244).

The spelling of 132112202200013 in words is "one hundred thirty-two trillion, one hundred twelve billion, two hundred two million, two hundred thousand, thirteen".

Divisors: 1 7 49 521 3647 25529 5174985397 36224897779 253574284453 2696167391837 18873171742859 132112202200013