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1306336031 = 721113214341
BaseRepresentation
bin100110111011101…
…0001101100011111
310101001002202010222
41031313101230133
510133410223111
6333343151555
744241446600
oct11567215437
93331082128
101306336031
11610435660
123055a55bb
1317a845c00
14c56cdda7
1579a427db
hex4ddd1b1f

1306336031 has 36 divisors (see below), whose sum is σ = 1795216824. Its totient is φ = 939556800.

The previous prime is 1306336027. The next prime is 1306336081.

1306336031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1306336031 - 22 = 1306336027 is a prime.

It is a super-2 number, since 2×13063360312 = 3413027651777665922, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306336081) 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 35 ways as a sum of consecutive naturals, for example, 83921 + ... + 98261.

It is an arithmetic number, because the mean of its divisors is an integer number (49867134).

Almost surely, 21306336031 is an apocalyptic number.

1306336031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1306336031 is a deficient number, since it is larger than the sum of its proper divisors (488880793).

1306336031 is a wasteful number, since it uses less digits than its factorization.

1306336031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14392 (or 14372 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 1306336031 is about 36143.2708951473. The cubic root of 1306336031 is about 1093.1631125559.

It can be divided in two parts, 13063 and 36031, that added together give a palindrome (49094).

The spelling of 1306336031 in words is "one billion, three hundred six million, three hundred thirty-six thousand, thirty-one".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1859 7007 8281 13013 14341 91091 100387 157751 186433 702709 1104257 1305031 2050763 2423629 7729799 9135217 14355341 16965403 26659919 100487387 118757821 186619433 1306336031