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132742247231 = 1117596860419
BaseRepresentation
bin111101110100000001…
…1011111001100111111
3110200122000221211122002
41323220003133030333
54133324003402411
6140551515012515
712406322325146
oct1735003371477
9420560854562
10132742247231
11513285a1060
122188713a13b
13c696060929
1465d377875d
1536bd99133b
hex1ee80df33f

132742247231 has 8 divisors (see below), whose sum is σ = 144892070400. Its totient is φ = 120606148440.

The previous prime is 132742247221. The next prime is 132742247237.

132742247231 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132742247231 - 26 = 132742247167 is a prime.

It is a super-2 number, since 2×1327422472312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132742247237) 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 7 ways as a sum of consecutive naturals, for example, 3410861 + ... + 3449558.

It is an arithmetic number, because the mean of its divisors is an integer number (18111508800).

Almost surely, 2132742247231 is an apocalyptic number.

132742247231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132742247231 is a deficient number, since it is larger than the sum of its proper divisors (12149823169).

132742247231 is a wasteful number, since it uses less digits than its factorization.

132742247231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862189.

The product of its digits is 112896, while the sum is 38.

It can be divided in two parts, 132742 and 247231, that added together give a palindrome (379973).

The spelling of 132742247231 in words is "one hundred thirty-two billion, seven hundred forty-two million, two hundred forty-seven thousand, two hundred thirty-one".

Divisors: 1 11 1759 19349 6860419 75464609 12067477021 132742247231