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11131041300 = 2235237103471
BaseRepresentation
bin10100101110111011…
…00011011000010100
31001201202000111002220
422113131203120110
5140244021310200
65040304502340
7542560201311
oct122735433024
931652014086
1011131041300
1147a2201095
1221a791a9b0
131085119092
14778461d08
154523264a0
hex297763614

11131041300 has 36 divisors (see below), whose sum is σ = 32205813696. Its totient is φ = 2968277600.

The previous prime is 11131041287. The next prime is 11131041347. The reversal of 11131041300 is 314013111.

11131041300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131041300.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18551436 + ... + 18552035.

It is an arithmetic number, because the mean of its divisors is an integer number (894605936).

Almost surely, 211131041300 is an apocalyptic number.

11131041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131041300 is an abundant number, since it is smaller than the sum of its proper divisors (21074772396).

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

11131041300 is a wasteful number, since it uses less digits than its factorization.

11131041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37103488 (or 37103481 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11131041300 its reverse (314013111), we get a palindrome (11445054411).

The spelling of 11131041300 in words is "eleven billion, one hundred thirty-one million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 37103471 74206942 111310413 148413884 185517355 222620826 371034710 445241652 556552065 742069420 927586775 1113104130 1855173550 2226208260 2782760325 3710347100 5565520650 11131041300