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13132110200 = 23521147891427
BaseRepresentation
bin11000011101011110…
…00001100101111000
31020220012101022120212
430032233001211320
5203343310011300
610011030410252
7643266044366
oct141657014570
936805338525
1013132110200
115629808840
122665b00988
131313878b11
148c8118636
1551cd4a935
hex30ebc1978

13132110200 has 192 divisors, whose sum is σ = 34422796800. Its totient is φ = 4617958400.

The previous prime is 13132110169. The next prime is 13132110253. The reversal of 13132110200 is 201123131.

13132110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 9201887 + ... + 9203313.

It is an arithmetic number, because the mean of its divisors is an integer number (179285400).

Almost surely, 213132110200 is an apocalyptic number.

13132110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211398400).

13132110200 is an abundant number, since it is smaller than the sum of its proper divisors (21290686600).

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

13132110200 is a wasteful number, since it uses less digits than its factorization.

13132110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13132110200 its reverse (201123131), we get a palindrome (13333233331).

The spelling of 13132110200 in words is "thirteen billion, one hundred thirty-two million, one hundred ten thousand, two hundred".