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13132000000 = 28567267
BaseRepresentation
bin11000011101011101…
…00110101100000000
31020220012011201102101
430032232212230000
5203343243000000
610011024200144
7643265105200
oct141656465400
936805151371
1013132000000
115629742a69
122665a69054
13131383a902
148c80ca400
1551cd27e6a
hex30eba6b00

13132000000 has 378 divisors, whose sum is σ = 38683801716. Its totient is φ = 4435200000.

The previous prime is 13131999973. The next prime is 13132000001. The reversal of 13132000000 is 23131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13132000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 195999967 + ... + 196000033.

Almost surely, 213132000000 is an apocalyptic number.

13132000000 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 13132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341900858).

13132000000 is an abundant number, since it is smaller than the sum of its proper divisors (25551801716).

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

13132000000 is an frugal number, since it uses more digits than its factorization.

13132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13132000000 its reverse (23131), we get a palindrome (13132023131).

The spelling of 13132000000 in words is "thirteen billion, one hundred thirty-two million", and thus it is an aban number.