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1300113331 = 11118192121
BaseRepresentation
bin100110101111110…
…0010011110110011
310100121101121012121
41031133202132303
510130312111311
6333001535111
744134531606
oct11537423663
93317347177
101300113331
11607975430
123034a4497
1317947773a
14c495033d
1579213b71
hex4d7e27b3

1300113331 has 4 divisors (see below), whose sum is σ = 1418305464. Its totient is φ = 1181921200.

The previous prime is 1300113329. The next prime is 1300113343. The reversal of 1300113331 is 1333110031.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1300113331 - 21 = 1300113329 is a prime.

It is a super-3 number, since 3×13001133313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1300113391) 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 3 ways as a sum of consecutive naturals, for example, 59096050 + ... + 59096071.

It is an arithmetic number, because the mean of its divisors is an integer number (354576366).

Almost surely, 21300113331 is an apocalyptic number.

1300113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1300113331 is a deficient number, since it is larger than the sum of its proper divisors (118192133).

1300113331 is a wasteful number, since it uses less digits than its factorization.

1300113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118192132.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1300113331 is about 36057.0843385873. The cubic root of 1300113331 is about 1091.4245971772.

Adding to 1300113331 its reverse (1333110031), we get a palindrome (2633223362).

The spelling of 1300113331 in words is "one billion, three hundred million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 11 118192121 1300113331