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1303141231 = 7261449971
BaseRepresentation
bin100110110101100…
…0101101101101111
310100211002102201001
41031223011231233
510132101004411
6333150501131
744202342400
oct11553055557
93324072631
101303141231
11609653327
123045047a7
13179c979b2
14c50db9a7
1579610dc1
hex4dac5b6f

1303141231 has 24 divisors (see below), whose sum is σ = 1545771600. Its totient is φ = 1095091200.

The previous prime is 1303141207. The next prime is 1303141241. The reversal of 1303141231 is 1321413031.

It is not a de Polignac number, because 1303141231 - 219 = 1302616943 is a prime.

It is a super-2 number, since 2×13031412312 = 3396354135864390722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303141199 and 1303141208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303141241) 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, 1341576 + ... + 1342546.

It is an arithmetic number, because the mean of its divisors is an integer number (64407150).

Almost surely, 21303141231 is an apocalyptic number.

1303141231 is a deficient number, since it is larger than the sum of its proper divisors (242630369).

1303141231 is an equidigital number, since it uses as much as digits as its factorization.

1303141231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1303141231 is about 36099.0475082100. The cubic root of 1303141231 is about 1092.2712316615.

Adding to 1303141231 its reverse (1321413031), we get a palindrome (2624554262).

The spelling of 1303141231 in words is "one billion, three hundred three million, one hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 7 49 61 427 449 971 2989 3143 6797 22001 27389 47579 59231 191723 414617 435979 1342061 2902319 3051853 21362971 26594719 186163033 1303141231