Search a number
-
+
13236071100 = 22352726789151
BaseRepresentation
bin11000101001110111…
…00110101010111100
31021011110000002010120
430110323212222330
5204101413233400
610025222534540
7646000514400
oct142473465274
937143002116
1013236071100
11568246513a
122694897450
13132c278445
148d7c5b100
15527033ca0
hex314ee6abc

13236071100 has 432 divisors, whose sum is σ = 46024554240. Its totient is φ = 2927232000.

The previous prime is 13236071083. The next prime is 13236071129. The reversal of 13236071100 is 117063231.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 87656025 + ... + 87656175.

It is an arithmetic number, because the mean of its divisors is an integer number (106538320).

Almost surely, 213236071100 is an apocalyptic number.

13236071100 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 13236071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23012277120).

13236071100 is an abundant number, since it is smaller than the sum of its proper divisors (32788483140).

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

13236071100 is a wasteful number, since it uses less digits than its factorization.

13236071100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 13236071100 in words is "thirteen billion, two hundred thirty-six million, seventy-one thousand, one hundred".