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20130303137 = 72410822513
BaseRepresentation
bin10010101111110111…
…000000110010100001
31220221220201100112212
4102233313000302201
5312211324200022
613125302131505
71311563516300
oct225767006241
956856640485
1020130303137
1185a003876a
123a99720b95
131b8a69b399
14d8d724437
157cc4093e2
hex4afdc0ca1

20130303137 has 6 divisors (see below), whose sum is σ = 23416883298. Its totient is φ = 17254545504.

The previous prime is 20130303131. The next prime is 20130303163. The reversal of 20130303137 is 73130303102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 18010713616 + 2119589521 = 134204^2 + 46039^2 .

It is not a de Polignac number, because 20130303137 - 212 = 20130299041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20130303131) 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 5 ways as a sum of consecutive naturals, for example, 205411208 + ... + 205411305.

It is an arithmetic number, because the mean of its divisors is an integer number (3902813883).

Almost surely, 220130303137 is an apocalyptic number.

It is an amenable number.

20130303137 is a deficient number, since it is larger than the sum of its proper divisors (3286580161).

20130303137 is an equidigital number, since it uses as much as digits as its factorization.

20130303137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410822527 (or 410822520 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 23.

Adding to 20130303137 its reverse (73130303102), we get a palindrome (93260606239).

The spelling of 20130303137 in words is "twenty billion, one hundred thirty million, three hundred three thousand, one hundred thirty-seven".

Divisors: 1 7 49 410822513 2875757591 20130303137