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132412401 = 351149537
BaseRepresentation
bin1111110010001…
…11001111110001
3100020011020200000
413321013033301
5232344144101
621050020213
73165325662
oct771071761
9306136600
10132412401
116881a440
1238417669
1321581844
141382b369
15b958486
hex7e473f1

132412401 has 24 divisors (see below), whose sum is σ = 216381984. Its totient is φ = 80248320.

The previous prime is 132412369. The next prime is 132412409. The reversal of 132412401 is 104214231.

It is not a de Polignac number, because 132412401 - 25 = 132412369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132412409) 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, 22096 + ... + 27441.

It is an arithmetic number, because the mean of its divisors is an integer number (9015916).

Almost surely, 2132412401 is an apocalyptic number.

132412401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132412401 is a deficient number, since it is larger than the sum of its proper divisors (83969583).

132412401 is an equidigital number, since it uses as much as digits as its factorization.

132412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49563 (or 49551 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132412401 is about 11507.0587466998. The cubic root of 132412401 is about 509.6940379355.

Adding to 132412401 its reverse (104214231), we get a palindrome (236626632).

The spelling of 132412401 in words is "one hundred thirty-two million, four hundred twelve thousand, four hundred one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 49537 148611 445833 544907 1337499 1634721 4012497 4904163 12037491 14712489 44137467 132412401