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132020020231 = 1117241528789
BaseRepresentation
bin111101011110100000…
…0011010010000000111
3110121202200221220102221
41322331000122100013
54130334111121411
6140352115113211
712352402441111
oct1727500322007
9417680856387
10132020020231
1150a97950240
12217052a2807
13c5ac53b588
1465658963b1
15367a37d071
hex1ebd01a407

132020020231 has 12 divisors (see below), whose sum is σ = 152992062360. Its totient is φ = 112958303360.

The previous prime is 132020020201. The next prime is 132020020241.

132020020231 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-132020020231 is a prime.

It is a super-2 number, since 2×1320200202312 (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 (132020020201) 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 11 ways as a sum of consecutive naturals, for example, 20761216 + ... + 20767573.

It is an arithmetic number, because the mean of its divisors is an integer number (12749338530).

Almost surely, 2132020020231 is an apocalyptic number.

132020020231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132020020231 is a deficient number, since it is larger than the sum of its proper divisors (20972042129).

132020020231 is a wasteful number, since it uses less digits than its factorization.

132020020231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41528834 (or 41528817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 1320200 and 20231, that added together give a palindrome (1340431).

The spelling of 132020020231 in words is "one hundred thirty-two billion, twenty million, twenty thousand, two hundred thirty-one".

Divisors: 1 11 17 187 289 3179 41528789 456816679 705989413 7765883543 12001820021 132020020231