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13201242432 = 263737713739
BaseRepresentation
bin11000100101101101…
…01111100101000000
31021002000110121011220
430102312233211000
5204014004224212
610021540235040
7645065465160
oct142266574500
937060417156
1013201242432
115664836914
12268509ba80
131324ca2671
148d33925a0
15523e5438c
hex312daf940

13201242432 has 224 divisors, whose sum is σ = 41585448960. Its totient is φ = 3617187840.

The previous prime is 13201242367. The next prime is 13201242487. The reversal of 13201242432 is 23424210231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3528819 + ... + 3532557.

Almost surely, 213201242432 is an apocalyptic number.

13201242432 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 13201242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20792724480).

13201242432 is an abundant number, since it is smaller than the sum of its proper divisors (28384206528).

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

13201242432 is a wasteful number, since it uses less digits than its factorization.

13201242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13201242432 its reverse (23424210231), we get a palindrome (36625452663).

The spelling of 13201242432 in words is "thirteen billion, two hundred one million, two hundred forty-two thousand, four hundred thirty-two".