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1301222013 = 37134766381
BaseRepresentation
bin100110110001111…
…0001001001111101
310100200110221000220
41031203301021331
510131103101023
6333041411553
744150130120
oct11543611175
93320427026
101301222013
116085623a3
12303939bb9
13179775270
14c4b5c3b7
15793823e3
hex4d8f127d

1301222013 has 16 divisors (see below), whose sum is σ = 2135339136. Its totient is φ = 686358720.

The previous prime is 1301222003. The next prime is 1301222029. The reversal of 1301222013 is 3102221031.

It is not a de Polignac number, because 1301222013 - 24 = 1301221997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1301221983 and 1301222001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301222003) 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 15 ways as a sum of consecutive naturals, for example, 2382918 + ... + 2383463.

It is an arithmetic number, because the mean of its divisors is an integer number (133458696).

Almost surely, 21301222013 is an apocalyptic number.

1301222013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1301222013 is a deficient number, since it is larger than the sum of its proper divisors (834117123).

1301222013 is a wasteful number, since it uses less digits than its factorization.

1301222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766404.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1301222013 is about 36072.4550453667. The cubic root of 1301222013 is about 1091.7347493722.

Adding to 1301222013 its reverse (3102221031), we get a palindrome (4403443044).

The spelling of 1301222013 in words is "one billion, three hundred one million, two hundred twenty-two thousand, thirteen".

Divisors: 1 3 7 13 21 39 91 273 4766381 14299143 33364667 61962953 100094001 185888859 433740671 1301222013