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113214040011 = 3310340709831
BaseRepresentation
bin110100101110000010…
…1010010011111001011
3101211020002012010102000
41221130011102133023
53323330243240021
6124002041442043
711115356314332
oct1513405223713
9354202163360
10113214040011
1144017412a26
1219b371a0323
13a8a3343127
14569ddc4d19
152e2936ab26
hex1a5c1527cb

113214040011 has 16 divisors (see below), whose sum is σ = 169352901120. Its totient is φ = 74743247880.

The previous prime is 113214040001. The next prime is 113214040019. The reversal of 113214040011 is 110040412311.

113214040011 is a `hidden beast` number, since 113 + 2 + 140 + 400 + 11 = 666.

It is a de Polignac number, because none of the positive numbers 2k-113214040011 is a prime.

It is a super-3 number, since 3×1132140400113 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (113214040019) 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 15 ways as a sum of consecutive naturals, for example, 20352135 + ... + 20357696.

It is an arithmetic number, because the mean of its divisors is an integer number (10584556320).

Almost surely, 2113214040011 is an apocalyptic number.

113214040011 is a deficient number, since it is larger than the sum of its proper divisors (56138861109).

113214040011 is a wasteful number, since it uses less digits than its factorization.

113214040011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40709943 (or 40709937 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 113214040011 its reverse (110040412311), we get a palindrome (223254452322).

The spelling of 113214040011 in words is "one hundred thirteen billion, two hundred fourteen million, forty thousand, eleven".

Divisors: 1 3 9 27 103 309 927 2781 40709831 122129493 366388479 1099165437 4193112593 12579337779 37738013337 113214040011