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11033023131 = 3213472006369
BaseRepresentation
bin10100100011001111…
…01001001010011011
31001110220120122110100
422101213221022123
5140043423220011
65022443550443
7540260102124
oct122147511233
931426518410
1011033023131
114751943639
12217ab2b423
13106aa1a670
1476942904b
15448913d56
hex2919e929b

11033023131 has 24 divisors (see below), whose sum is σ = 17527648320. Its totient is φ = 6645090816.

The previous prime is 11033023123. The next prime is 11033023201. The reversal of 11033023131 is 13132033011.

It is a happy number.

11033023131 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 11033023131 - 23 = 11033023123 is a prime.

It is a super-2 number, since 2×110330231312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11033023831) 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 23 ways as a sum of consecutive naturals, for example, 997686 + ... + 1008683.

It is an arithmetic number, because the mean of its divisors is an integer number (730318680).

Almost surely, 211033023131 is an apocalyptic number.

11033023131 is a deficient number, since it is larger than the sum of its proper divisors (6494625189).

11033023131 is a wasteful number, since it uses less digits than its factorization.

11033023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006435 (or 2006432 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11033023131 its reverse (13132033011), we get a palindrome (24165056142).

The spelling of 11033023131 in words is "eleven billion, thirty-three million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 47 117 141 423 611 1833 5499 2006369 6019107 18057321 26082797 78248391 94299343 234745173 282898029 848694087 1225891459 3677674377 11033023131