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10132320100000 = 2555730747149
BaseRepresentation
bin1001001101110001110101…
…0101110001111010100000
31022212122021210211210022211
42103130131111301322200
52312001442421200000
633314420144011504
72064015223546510
oct223343525617240
938778253753284
1010132320100000
11325710260266a
121177865600b94
135866208c1c97
1427059a7b9840
151288717e87ba
hex9371d571ea0

10132320100000 has 288 divisors, whose sum is σ = 28588751452800. Its totient is φ = 3462549120000.

The previous prime is 10132320099977. The next prime is 10132320100039. The reversal of 10132320100000 is 102323101.

10132320100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214876426 + ... + 214923574.

It is an arithmetic number, because the mean of its divisors is an integer number (99266498100).

Almost surely, 210132320100000 is an apocalyptic number.

10132320100000 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 10132320100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294375726400).

10132320100000 is an abundant number, since it is smaller than the sum of its proper divisors (18456431352800).

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

10132320100000 is an frugal number, since it uses more digits than its factorization.

10132320100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47498 (or 47470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10132320100000 its reverse (102323101), we get a palindrome (10132422423101).

The spelling of 10132320100000 in words is "ten trillion, one hundred thirty-two billion, three hundred twenty million, one hundred thousand".