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132003212013 = 32294710760839
BaseRepresentation
bin111101011110000000…
…0010010101011101101
3110121201112022221220100
41322330000102223231
54130320310241023
6140350314541313
712352106534421
oct1727400225355
9417645287810
10132003212013
1150a8940aa52
12216bb737839
13c5a8c04b9a
14656355cb81
153678b5cc43
hex1ebc012aed

132003212013 has 24 divisors (see below), whose sum is σ = 201442924800. Its totient is φ = 83159756064.

The previous prime is 132003212009. The next prime is 132003212027. The reversal of 132003212013 is 310212300231.

132003212013 is a `hidden beast` number, since 1 + 320 + 0 + 321 + 20 + 1 + 3 = 666.

It is not a de Polignac number, because 132003212013 - 22 = 132003212009 is a prime.

It is a super-3 number, since 3×1320032120133 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132003212113) 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 23 ways as a sum of consecutive naturals, for example, 5368153 + ... + 5392686.

It is an arithmetic number, because the mean of its divisors is an integer number (8393455200).

Almost surely, 2132003212013 is an apocalyptic number.

It is an amenable number.

132003212013 is a deficient number, since it is larger than the sum of its proper divisors (69439712787).

132003212013 is a wasteful number, since it uses less digits than its factorization.

132003212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760921 (or 10760918 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132003212013 its reverse (310212300231), we get a palindrome (442215512244).

The spelling of 132003212013 in words is "one hundred thirty-two billion, three million, two hundred twelve thousand, thirteen".

Divisors: 1 3 9 29 47 87 141 261 423 1363 4089 12267 10760839 32282517 96847551 312064331 505759433 936192993 1517278299 2808578979 4551834897 14667023557 44001070671 132003212013