Search a number
-
+
11110010110011 = 32131257132727631
BaseRepresentation
bin1010000110101100000000…
…1101001100000000111011
31110100002212201002022000100
42201223000031030000323
52424011300042010021
635343511310010443
72224446256532121
oct241530015140073
943302781068010
1011110010110011
1135a38020848aa
1212b523baa6a23
13627891a508c7
142a5a27c2b911
15143ee45ec626
hexa1ac034c03b

11110010110011 has 48 divisors (see below), whose sum is σ = 16246035007488. Its totient is φ = 7315752038400.

The previous prime is 11110010109983. The next prime is 11110010110079. The reversal of 11110010110011 is 11001101001111.

It is a de Polignac number, because none of the positive numbers 2k-11110010110011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11110010109975 and 11110010110002.

It is not an unprimeable number, because it can be changed into a prime (11110010110091) 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 47 ways as a sum of consecutive naturals, for example, 402071166 + ... + 402098796.

It is an arithmetic number, because the mean of its divisors is an integer number (338459062656).

Almost surely, 211110010110011 is an apocalyptic number.

11110010110011 is a deficient number, since it is larger than the sum of its proper divisors (5136024897477).

11110010110011 is a wasteful number, since it uses less digits than its factorization.

11110010110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29352 (or 29349 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11110010110011 its reverse (11001101001111), we get a palindrome (22111111111122).

The spelling of 11110010110011 in words is "eleven trillion, one hundred ten billion, ten million, one hundred ten thousand, eleven".

Divisors: 1 3 9 131 257 393 771 1179 1327 2313 3981 11943 27631 33667 82893 101001 173837 248679 303003 341039 521511 1023117 1564533 3069351 3619661 7101167 10858983 21303501 32576949 36666337 44676109 63910503 109999011 134028327 329997033 402084981 930252877 2790758631 4803290147 8372275893 9423248609 14409870441 28269745827 43229611323 84809237481 1234445567779 3703336703337 11110010110011