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11131130100 = 2235237103767
BaseRepresentation
bin10100101110111011…
…11001000011110100
31001201202011222220210
422113131321003310
5140244032130400
65040310425420
7542561021226
oct122735710364
931652158823
1011131130100
1147a2261882
1221a7962270
13108514a61c
14778486416
15452342950
hex2977790f4

11131130100 has 36 divisors (see below), whose sum is σ = 32206070624. Its totient is φ = 2968301280.

The previous prime is 11131130063. The next prime is 11131130111. The reversal of 11131130100 is 103113111.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18551584 + ... + 18552183.

Almost surely, 211131130100 is an apocalyptic number.

11131130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131130100 is an abundant number, since it is smaller than the sum of its proper divisors (21074940524).

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

11131130100 is a wasteful number, since it uses less digits than its factorization.

11131130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37103784 (or 37103777 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11131130100 its reverse (103113111), we get a palindrome (11234243211).

The spelling of 11131130100 in words is "eleven billion, one hundred thirty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 37103767 74207534 111311301 148415068 185518835 222622602 371037670 445245204 556556505 742075340 927594175 1113113010 1855188350 2226226020 2782782525 3710376700 5565565050 11131130100