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11034431431 = 1931831311723
BaseRepresentation
bin10100100011011010…
…00000111111000111
31001111000020012021121
422101231000333013
5140044303301211
65022534054411
7540305056012
oct122155007707
931430205247
1011034431431
114752715721
12217b4aa407
13106b0c168a
147696b4379
15448ae1271
hex291b40fc7

11034431431 has 32 divisors (see below), whose sum is σ = 12234055680. Its totient is φ = 9912520800.

The previous prime is 11034431371. The next prime is 11034431477. The reversal of 11034431431 is 13413443011.

It is a happy number.

11034431431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11034431431 - 211 = 11034429383 is a prime.

It is a super-2 number, since 2×110344314312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11034431396 and 11034431405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034431491) 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 31 ways as a sum of consecutive naturals, for example, 6403336 + ... + 6405058.

It is an arithmetic number, because the mean of its divisors is an integer number (382314240).

Almost surely, 211034431431 is an apocalyptic number.

11034431431 is a deficient number, since it is larger than the sum of its proper divisors (1199624249).

11034431431 is a wasteful number, since it uses less digits than its factorization.

11034431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 11034431431 its reverse (13413443011), we get a palindrome (24447874442).

The spelling of 11034431431 in words is "eleven billion, thirty-four million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 19 31 83 131 589 1577 1723 2489 2573 4061 10873 32737 48887 53413 77159 143009 206587 225713 337063 1014847 2717171 4288547 4433279 6404197 6997103 18734179 84232301 132944957 355949401 580759549 11034431431