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13131112200 = 2335221885187
BaseRepresentation
bin11000011101010110…
…01101111100001000
31020220010111121120220
430032223031330020
5203343031042300
610010553150040
7643254416643
oct141653157410
936803447526
1013131112200
115629196a48
1226656bb320
1313135b979b
148c7d38a5a
1551cbeeda0
hex30eacdf08

13131112200 has 48 divisors (see below), whose sum is σ = 40706449680. Its totient is φ = 3501629760.

The previous prime is 13131112139. The next prime is 13131112207. The reversal of 13131112200 is 221113131.

It is a happy number.

13131112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131311122002 (a number of 21 digits) contains 22 as substring.

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 13131112200.

It is not an unprimeable number, because it can be changed into a prime (13131112207) 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 11 ways as a sum of consecutive naturals, for example, 10941994 + ... + 10943193.

It is an arithmetic number, because the mean of its divisors is an integer number (848051035).

Almost surely, 213131112200 is an apocalyptic number.

13131112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131112200 is an abundant number, since it is smaller than the sum of its proper divisors (27575337480).

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

13131112200 is a wasteful number, since it uses less digits than its factorization.

13131112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21885206 (or 21885197 counting only the distinct ones).

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

Adding to 13131112200 its reverse (221113131), we get a palindrome (13352225331).

The spelling of 13131112200 in words is "thirteen billion, one hundred thirty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 21885187 43770374 65655561 87540748 109425935 131311122 175081496 218851870 262622244 328277805 437703740 525244488 547129675 656555610 875407480 1094259350 1313111220 1641389025 2188518700 2626222440 3282778050 4377037400 6565556100 13131112200