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1306446031 = 111003711833
BaseRepresentation
bin100110111011110…
…1100100011001111
310101001022100001001
41031313230203033
510133422233111
6333345401131
744242415362
oct11567544317
93331270031
101306446031
11610500270
123056391a7
1317a883cb7
14c571c0d9
1579a651c1
hex4ddec8cf

1306446031 has 8 divisors (see below), whose sum is σ = 1425476304. Its totient is φ = 1187459520.

The previous prime is 1306446013. The next prime is 1306446047.

1306446031 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1306446031 - 29 = 1306445519 is a prime.

It is a super-2 number, since 2×13064460312 = 3413602463831305922, 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 (1306446091) 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 7 ways as a sum of consecutive naturals, for example, 104491 + ... + 116323.

It is an arithmetic number, because the mean of its divisors is an integer number (178184538).

Almost surely, 21306446031 is an apocalyptic number.

1306446031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1306446031 is a deficient number, since it is larger than the sum of its proper divisors (119030273).

1306446031 is a wasteful number, since it uses less digits than its factorization.

1306446031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21881.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1306446031 is about 36144.7925848247. The cubic root of 1306446031 is about 1093.1937949543.

It can be divided in two parts, 13064 and 46031, that added together give a palindrome (59095).

The spelling of 1306446031 in words is "one billion, three hundred six million, four hundred forty-six thousand, thirty-one".

Divisors: 1 11 10037 11833 110407 130163 118767821 1306446031