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132412354401 = 3233161903859
BaseRepresentation
bin111101101010001100…
…1000010111101100001
3110122210001012112202010
41323110121002331201
54132140030320101
6140455052143133
712365205304365
oct1732431027541
9418701175663
10132412354401
115117935a758
12217b4767aa9
13c6428c7882
1465a1a232a5
15369ea2a2d6
hex1ed4642f61

132412354401 has 16 divisors (see below), whose sum is σ = 190168657920. Its totient is φ = 81713092560.

The previous prime is 132412354381. The next prime is 132412354421. The reversal of 132412354401 is 104453214231.

It is an interprime number because it is at equal distance from previous prime (132412354381) and next prime (132412354421).

It is not a de Polignac number, because 132412354401 - 25 = 132412354369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132412354421) 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 15 ways as a sum of consecutive naturals, for example, 30949791 + ... + 30954068.

It is an arithmetic number, because the mean of its divisors is an integer number (11885541120).

Almost surely, 2132412354401 is an apocalyptic number.

It is an amenable number.

132412354401 is a deficient number, since it is larger than the sum of its proper divisors (57756303519).

132412354401 is a wasteful number, since it uses less digits than its factorization.

132412354401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61903916.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 132412354401 its reverse (104453214231), we get a palindrome (236865568632).

The spelling of 132412354401 in words is "one hundred thirty-two billion, four hundred twelve million, three hundred fifty-four thousand, four hundred one".

Divisors: 1 3 23 31 69 93 713 2139 61903859 185711577 1423788757 1919019629 4271366271 5757058887 44137451467 132412354401