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13236105120 = 2535714332749
BaseRepresentation
bin11000101001110111…
…01110111110100000
31021011110001210210120
430110323232332200
5204101420330440
610025223400240
7646001015520
oct142473567640
937143053716
1013236105120
115682488757
1226948b3080
13132c28aa84
148d7c69680
1552703ddd0
hex314eeefa0

13236105120 has 192 divisors, whose sum is σ = 47700576000. Its totient is φ = 3022184448.

The previous prime is 13236105101. The next prime is 13236105131. The reversal of 13236105120 is 2150163231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4813506 + ... + 4816254.

It is an arithmetic number, because the mean of its divisors is an integer number (248440500).

Almost surely, 213236105120 is an apocalyptic number.

13236105120 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 13236105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23850288000).

13236105120 is an abundant number, since it is smaller than the sum of its proper divisors (34464470880).

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

13236105120 is a wasteful number, since it uses less digits than its factorization.

13236105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13236105120 its reverse (2150163231), we get a palindrome (15386268351).

The spelling of 13236105120 in words is "thirteen billion, two hundred thirty-six million, one hundred five thousand, one hundred twenty".