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132020002313 = 172617488797
BaseRepresentation
bin111101011110100000…
…0010101111000001001
3110121202200220222212022
41322331000111320021
54130334110033223
6140352114454225
712352402334633
oct1727500257011
9417680828768
10132020002313
1150a97938831
1221705294375
13c5ac533384
14656588da53
15367a377ac8
hex1ebd015e09

132020002313 has 12 divisors (see below), whose sum is σ = 142541781132. Its totient is φ = 122217150720.

The previous prime is 132020002307. The next prime is 132020002339. The reversal of 132020002313 is 313200020231.

It can be written as a sum of positive squares in 6 ways, for example, as 9286791424 + 122733210889 = 96368^2 + 350333^2 .

It is not a de Polignac number, because 132020002313 - 24 = 132020002297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132020002291 and 132020002300.

It is not an unprimeable number, because it can be changed into a prime (132020004313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3726770 + ... + 3762027.

It is an arithmetic number, because the mean of its divisors is an integer number (11878481761).

Almost surely, 2132020002313 is an apocalyptic number.

It is an amenable number.

132020002313 is a deficient number, since it is larger than the sum of its proper divisors (10521778819).

132020002313 is an equidigital number, since it uses as much as digits as its factorization.

132020002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7488892 (or 7488875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 132020002313 its reverse (313200020231), we get a palindrome (445220022544).

The spelling of 132020002313 in words is "one hundred thirty-two billion, twenty million, two thousand, three hundred thirteen".

Divisors: 1 17 61 289 1037 17629 7488797 127309549 456816617 2164262333 7765882489 132020002313