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13210300032 = 27337532331
BaseRepresentation
bin11000100110110010…
…10010111010000000
31021002122111202212120
430103121102322000
5204023314100112
610022502324240
7645235461156
oct142331227200
937078452776
1013210300032
115669962a36
122688129680
131326b242a7
148d466d3d6
15524b42e8c
hex313652e80

13210300032 has 192 divisors, whose sum is σ = 36842000160. Its totient is φ = 4190883840.

The previous prime is 13210300013. The next prime is 13210300049. The reversal of 13210300032 is 23000301231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 13210299984 and 13210300020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39910107 + ... + 39910437.

Almost surely, 213210300032 is an apocalyptic number.

13210300032 is a gapful number since it is divisible by the number (12) 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 13210300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421000080).

13210300032 is an abundant number, since it is smaller than the sum of its proper divisors (23631700128).

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

13210300032 is an equidigital number, since it uses as much as digits as its factorization.

13210300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13210300032 its reverse (23000301231), we get a palindrome (36210601263).

The spelling of 13210300032 in words is "thirteen billion, two hundred ten million, three hundred thousand, thirty-two".