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1300113031 = 736316007
BaseRepresentation
bin100110101111110…
…0010011010000111
310100121101120210111
41031133202122013
510130312104111
6333001533451
744134531000
oct11537423207
93317346714
101300113031
11607975188
123034a4287
13179477569
14c49501a7
1579213a21
hex4d7e2687

1300113031 has 16 divisors (see below), whose sum is σ = 1518822400. Its totient is φ = 1112431320.

The previous prime is 1300112963. The next prime is 1300113043. The reversal of 1300113031 is 1303110031.

It is a happy number.

It is not a de Polignac number, because 1300113031 - 27 = 1300112903 is a prime.

It is a super-2 number, since 2×13001130312 = 3380587786752013922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300113431) 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, 213430 + ... + 219436.

It is an arithmetic number, because the mean of its divisors is an integer number (94926400).

Almost surely, 21300113031 is an apocalyptic number.

1300113031 is a deficient number, since it is larger than the sum of its proper divisors (218709369).

1300113031 is an frugal number, since it uses more digits than its factorization.

1300113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6659 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1300113031 is about 36057.0801785170. The cubic root of 1300113031 is about 1091.4245132288.

Adding to 1300113031 its reverse (1303110031), we get a palindrome (2603223062).

The spelling of 1300113031 in words is "one billion, three hundred million, one hundred thirteen thousand, thirty-one".

Divisors: 1 7 49 343 631 4417 6007 30919 42049 216433 294343 2060401 3790417 26532919 185730433 1300113031