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11131234101 = 321395138753
BaseRepresentation
bin10100101110111100…
…10010011100110101
31001201202101021120200
422113132102130311
5140244043442401
65040312551113
7542561633361
oct122736223465
931652337520
1011131234101
1147a2322a29
1221a79b2499
131085185a70
147784b22a1
15452363686
hex297792735

11131234101 has 12 divisors (see below), whose sum is σ = 17315253228. Its totient is φ = 6849990144.

The previous prime is 11131234043. The next prime is 11131234117. The reversal of 11131234101 is 10143213111.

It is a happy number.

11131234101 is a `hidden beast` number, since 1 + 11 + 312 + 341 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7501292100 + 3629942001 = 86610^2 + 60249^2 .

It is not a de Polignac number, because 11131234101 - 213 = 11131225909 is a prime.

It is a super-2 number, since 2×111312341012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131234171) 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 11 ways as a sum of consecutive naturals, for example, 47569260 + ... + 47569493.

It is an arithmetic number, because the mean of its divisors is an integer number (1442937769).

Almost surely, 211131234101 is an apocalyptic number.

It is an amenable number.

11131234101 is a deficient number, since it is larger than the sum of its proper divisors (6184019127).

11131234101 is a wasteful number, since it uses less digits than its factorization.

11131234101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95138772 (or 95138769 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11131234101 its reverse (10143213111), we get a palindrome (21274447212).

The spelling of 11131234101 in words is "eleven billion, one hundred thirty-one million, two hundred thirty-four thousand, one hundred one".

Divisors: 1 3 9 13 39 117 95138753 285416259 856248777 1236803789 3710411367 11131234101