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11131132302 = 2322326131907
BaseRepresentation
bin10100101110111011…
…11001100110001110
31001201202012002221100
422113131321212032
5140244032213202
65040310443530
7542561030523
oct122735714616
931652162840
1011131132302
1147a22634a4
1221a79635a6
13108514b624
1477848714a
1545234341c
hex29777998e

11131132302 has 72 divisors (see below), whose sum is σ = 25265999304. Its totient is φ = 3541408992.

The previous prime is 11131132289. The next prime is 11131132303. The reversal of 11131132302 is 20323113111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131132303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5836033 + ... + 5837939.

It is an arithmetic number, because the mean of its divisors is an integer number (350916657).

Almost surely, 211131132302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131132302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632999652).

11131132302 is an abundant number, since it is smaller than the sum of its proper divisors (14134867002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131132302 is a wasteful number, since it uses less digits than its factorization.

11131132302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11131132302 its reverse (20323113111), we get a palindrome (31454245413).

The spelling of 11131132302 in words is "eleven billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 613 1058 1226 1587 1839 1907 3174 3678 3814 4761 5517 5721 9522 11034 11442 14099 17163 28198 34326 42297 43861 84594 87722 126891 131583 253782 263166 324277 394749 648554 789498 972831 1008803 1168991 1945662 2017606 2337982 2918493 3026409 3506973 5836986 6052818 7013946 9079227 10520919 18158454 21041838 26886793 53773586 80660379 161320758 241981137 483962274 618396239 1236792478 1855188717 3710377434 5565566151 11131132302