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11131033101 = 3171511445401
BaseRepresentation
bin10100101110111011…
…00001011000001101
31001201202000001212020
422113131201120031
5140244021024401
65040304400353
7542560135356
oct122735413015
931652001766
1011131033101
1147a21a5a11
1221a79160b9
131085115426
1477845cd2d
15452323d36
hex29776160d

11131033101 has 16 divisors (see below), whose sum is σ = 15818479488. Its totient is φ = 6937920000.

The previous prime is 11131033091. The next prime is 11131033183. The reversal of 11131033101 is 10133013111.

11131033101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11131033101 - 26 = 11131033037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131033801) 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 15 ways as a sum of consecutive naturals, for example, 715000 + ... + 730401.

It is an arithmetic number, because the mean of its divisors is an integer number (988654968).

Almost surely, 211131033101 is an apocalyptic number.

It is an amenable number.

11131033101 is a deficient number, since it is larger than the sum of its proper divisors (4687446387).

11131033101 is a wasteful number, since it uses less digits than its factorization.

11131033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445572.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11131033101 its reverse (10133013111), we get a palindrome (21264046212).

The spelling of 11131033101 in words is "eleven billion, one hundred thirty-one million, thirty-three thousand, one hundred one".

Divisors: 1 3 17 51 151 453 2567 7701 1445401 4336203 24571817 73715451 218255551 654766653 3710344367 11131033101