Search a number
-
+
1301221313 = 7226555537
BaseRepresentation
bin100110110001111…
…0000111111000001
310100200110220001222
41031203300333001
510131103040223
6333041404425
744150125100
oct11543607701
93320426058
101301221313
11608561917
12303939715
13179774b52
14c4b5c037
15793820c8
hex4d8f0fc1

1301221313 has 6 divisors (see below), whose sum is σ = 1513665666. Its totient is φ = 1115332512.

The previous prime is 1301221303. The next prime is 1301221333. The reversal of 1301221313 is 3131221031.

It can be written as a sum of positive squares in only one way, i.e., 946915984 + 354305329 = 30772^2 + 18823^2 .

It is not a de Polignac number, because 1301221313 - 214 = 1301204929 is a prime.

It is a super-3 number, since 3×13012213133 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1301221291 and 1301221300.

It is not an unprimeable number, because it can be changed into a prime (1301221303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13277720 + ... + 13277817.

It is an arithmetic number, because the mean of its divisors is an integer number (252277611).

Almost surely, 21301221313 is an apocalyptic number.

It is an amenable number.

1301221313 is a deficient number, since it is larger than the sum of its proper divisors (212444353).

1301221313 is an equidigital number, since it uses as much as digits as its factorization.

1301221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26555551 (or 26555544 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1301221313 is about 36072.4453426712. The cubic root of 1301221313 is about 1091.7345536038.

Adding to 1301221313 its reverse (3131221031), we get a palindrome (4432442344).

The spelling of 1301221313 in words is "one billion, three hundred one million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 7 49 26555537 185888759 1301221313