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1421421313 = 13237322549
BaseRepresentation
bin101010010111001…
…0010101100000001
310200001122200110211
41110232102230001
510402340440223
6353013554121
750136611314
oct12456225401
93601580424
101421421313
1166a39a964
12338045941
1319863bb00
14d6aca97b
1584bc6d0d
hex54b92b01

1421421313 has 12 divisors (see below), whose sum is σ = 1543367100. Its totient is φ = 1308505536.

The previous prime is 1421421307. The next prime is 1421421317. The reversal of 1421421313 is 3131241241.

It can be written as a sum of positive squares in 6 ways, for example, as 734449 + 1420686864 = 857^2 + 37692^2 .

It is not a de Polignac number, because 1421421313 - 225 = 1387866881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1421421317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51763 + ... + 74311.

It is an arithmetic number, because the mean of its divisors is an integer number (128613925).

Almost surely, 21421421313 is an apocalyptic number.

1421421313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1421421313 is a deficient number, since it is larger than the sum of its proper divisors (121945787).

1421421313 is a wasteful number, since it uses less digits than its factorization.

1421421313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22948 (or 22935 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 1421421313 is about 37701.7415115005. The cubic root of 1421421313 is about 1124.3657496183.

Adding to 1421421313 its reverse (3131241241), we get a palindrome (4552662554).

The spelling of 1421421313 in words is "one billion, four hundred twenty-one million, four hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 13 169 373 4849 22549 63037 293137 3810781 8410777 109340101 1421421313