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132013234431 = 3313283934483
BaseRepresentation
bin111101011110010011…
…0100001100011111111
3110121202020012011002000
41322330212201203333
54130330342000211
6140351313433343
712352260656331
oct1727446414377
9417666164060
10132013234431
1150a94035a41
1221702b6b853
13c5ab003a00
146564a0b451
15367998c656
hex1ebc9a18ff

132013234431 has 48 divisors (see below), whose sum is σ = 212035219200. Its totient is φ = 81139732128.

The previous prime is 132013234429. The next prime is 132013234453. The reversal of 132013234431 is 134432310231.

It is a happy number.

132013234431 is a `hidden beast` number, since 1 + 3 + 201 + 3 + 23 + 4 + 431 = 666.

It is not a de Polignac number, because 132013234431 - 21 = 132013234429 is a prime.

It is a super-2 number, since 2×1320132344312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132013234395 and 132013234404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013234531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3811116 + ... + 3845598.

It is an arithmetic number, because the mean of its divisors is an integer number (4417400400).

Almost surely, 2132013234431 is an apocalyptic number.

132013234431 is a deficient number, since it is larger than the sum of its proper divisors (80021984769).

132013234431 is a wasteful number, since it uses less digits than its factorization.

132013234431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35357 (or 35338 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132013234431 its reverse (134432310231), we get a palindrome (266445544662).

The spelling of 132013234431 in words is "one hundred thirty-two billion, thirteen million, two hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 169 351 507 839 1521 2517 4563 7551 10907 22653 32721 34483 98163 103449 141791 294489 310347 425373 448279 931041 1276119 1344837 3828357 4034511 5827627 12103533 17482881 28931237 52448643 86793711 157345929 260381133 376106081 781143399 1128318243 3384954729 4889379053 10154864187 14668137159 44004411477 132013234431