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132112141211213 = 1729719403242887
BaseRepresentation
bin11110000010011111000001…
…001111110101011001001101
3122022202210112021022220200222
4132002133001033311121031
5114304011131122224323
61144551251350201125
736553534005605342
oct3602370117653115
9568683467286628
10132112141211213
1139105498614869
12129982749531a5
135894176b03227
14248a3943687c9
1510418176269c8
hex7827c13f564d

132112141211213 has 24 divisors (see below), whose sum is σ = 141795280452672. Its totient is φ = 123052125579264.

The previous prime is 132112141211207. The next prime is 132112141211231. The reversal of 132112141211213 is 312112141211231.

It is not a de Polignac number, because 132112141211213 - 220 = 132112140162637 is a prime.

It is a super-2 number, since 2×1321121412112132 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112141211243) 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, 543802856 + ... + 544045742.

It is an arithmetic number, because the mean of its divisors is an integer number (5908136685528).

Almost surely, 2132112141211213 is an apocalyptic number.

It is an amenable number.

132112141211213 is a deficient number, since it is larger than the sum of its proper divisors (9683139241459).

132112141211213 is a wasteful number, since it uses less digits than its factorization.

132112141211213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262421 (or 262404 counting only the distinct ones).

The product of its digits is 576, while the sum is 26.

Adding to 132112141211213 its reverse (312112141211231), we get a palindrome (444224282422444).

The spelling of 132112141211213 in words is "one hundred thirty-two trillion, one hundred twelve billion, one hundred forty-one million, two hundred eleven thousand, two hundred thirteen".

Divisors: 1 17 97 289 1649 19403 28033 242887 329851 1882091 4129079 5607467 23560039 31995547 70194343 400520663 543924299 4712736461 6808851271 80116519837 457135436717 1361980837229 7771302424189 132112141211213