Search a number
-
+
13232033100 = 223352111343797
BaseRepresentation
bin11000101001011000…
…01100110101001100
31021011011101221001000
430110230030311030
5204044400024400
610025000220300
7645621265656
oct142454146514
937134357030
1013232033100
115680157350
12269346a690
13132b4934b0
148d74c96d6
155269d7600
hex314b0cd4c

13232033100 has 576 divisors, whose sum is σ = 51201722880. Its totient is φ = 2888524800.

The previous prime is 13232033069. The next prime is 13232033117. The reversal of 13232033100 is 133023231.

13232033100 is a `hidden beast` number, since 1 + 32 + 320 + 3 + 310 + 0 = 666.

It is a super-2 number, since 2×132320331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16601902 + ... + 16602698.

It is an arithmetic number, because the mean of its divisors is an integer number (88891880).

Almost surely, 213232033100 is an apocalyptic number.

13232033100 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 13232033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25600861440).

13232033100 is an abundant number, since it is smaller than the sum of its proper divisors (37969689780).

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

13232033100 is a wasteful number, since it uses less digits than its factorization.

13232033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13232033100 its reverse (133023231), we get a palindrome (13365056331).

The spelling of 13232033100 in words is "thirteen billion, two hundred thirty-two million, thirty-three thousand, one hundred".