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32012414133 = 3773149269521
BaseRepresentation
bin11101110100000101…
…101010110010110101
310001122000000010120220
4131310011222302311
51011030134223013
622412321044553
72212204013310
oct356405526265
9101560003526
1032012414133
111263819a607
126254a86759
133032297aab
141799815977
15c7563eb23
hex77416acb5

32012414133 has 64 divisors (see below), whose sum is σ = 50061888000. Its totient is φ = 17820241920.

The previous prime is 32012414129. The next prime is 32012414153. The reversal of 32012414133 is 33141421023.

It is a happy number.

It is not a de Polignac number, because 32012414133 - 22 = 32012414129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32012414113) 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 63 ways as a sum of consecutive naturals, for example, 61443913 + ... + 61444433.

It is an arithmetic number, because the mean of its divisors is an integer number (782217000).

Almost surely, 232012414133 is an apocalyptic number.

It is an amenable number.

32012414133 is a deficient number, since it is larger than the sum of its proper divisors (18049473867).

32012414133 is a wasteful number, since it uses less digits than its factorization.

32012414133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32012414133 its reverse (33141421023), we get a palindrome (65153835156).

The spelling of 32012414133 in words is "thirty-two billion, twelve million, four hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 3 7 21 73 149 219 269 447 511 521 807 1043 1533 1563 1883 3129 3647 5649 10877 10941 19637 32631 38033 40081 58911 76139 77629 114099 120243 137459 140149 228417 232887 266231 280567 412377 420447 543403 798693 841701 981043 1630209 2925913 2943129 5666917 8777739 10230877 17000751 20481391 20882201 30692631 39668419 61444173 62646603 71616139 119005257 146175407 214848417 438526221 1524400673 4573202019 10670804711 32012414133