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11032131313 = 725310341243
BaseRepresentation
bin10100100011001000…
…01111011011110001
31001110211220100010001
422101210033123301
5140043211200223
65022412510001
7540246366100
oct122144173361
931424810101
1011032131313
1147513945a5
12217a77b301
13106a797768
14769276037
154487d99ad
hex29190f6f1

11032131313 has 24 divisors (see below), whose sum is σ = 13202699328. Its totient is φ = 9187397856.

The previous prime is 11032131277. The next prime is 11032131347. The reversal of 11032131313 is 31313123011.

11032131313 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 11032131313 - 217 = 11032000241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11032131373) 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, 246870 + ... + 288112.

It is an arithmetic number, because the mean of its divisors is an integer number (550112472).

Almost surely, 211032131313 is an apocalyptic number.

It is an amenable number.

11032131313 is a deficient number, since it is larger than the sum of its proper divisors (2170568015).

11032131313 is a wasteful number, since it uses less digits than its factorization.

11032131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41413 (or 41406 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11032131313 its reverse (31313123011), we get a palindrome (42345254324).

The spelling of 11032131313 in words is "eleven billion, thirty-two million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 7 49 53 103 371 721 2597 5047 5459 38213 41243 267491 288701 2020907 2185879 4248029 15301153 29736203 107108071 208153421 225145537 1576018759 11032131313