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11131201020 = 2235434314419
BaseRepresentation
bin10100101110111100…
…01010010111111100
31001201202022121012110
422113132022113330
5140244041413040
65040312134020
7542561435052
oct122736122774
931652277173
1011131201020
1147a2300095
1221a7997310
1310851739a4
147784a41d2
15452358980
hex29778a5fc

11131201020 has 48 divisors (see below), whose sum is σ = 31892192640. Its totient is φ = 2899288896.

The previous prime is 11131201007. The next prime is 11131201021. The reversal of 11131201020 is 2010213111.

It is a super-2 number, since 2×111312010202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11131200987 and 11131201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131201021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154630 + ... + 2159789.

It is an arithmetic number, because the mean of its divisors is an integer number (664420680).

Almost surely, 211131201020 is an apocalyptic number.

11131201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131201020 is an abundant number, since it is smaller than the sum of its proper divisors (20760991620).

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

11131201020 is a wasteful number, since it uses less digits than its factorization.

11131201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314474 (or 4314472 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11131201020 its reverse (2010213111), we get a palindrome (13141414131).

The spelling of 11131201020 in words is "eleven billion, one hundred thirty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4314419 8628838 12943257 17257676 21572095 25886514 43144190 51773028 64716285 86288380 129432570 185520017 258865140 371040034 556560051 742080068 927600085 1113120102 1855200170 2226240204 2782800255 3710400340 5565600510 11131201020