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13232211120 = 24325173143811
BaseRepresentation
bin11000101001011001…
…11000010010110000
31021011011201222020100
430110230320102300
5204044421223440
610025004112400
7645622636662
oct142454702260
937134658210
1013232211120
115680269077
122693535700
13132b52652b
148d7534532
15526a20230
hex314b384b0

13232211120 has 480 divisors, whose sum is σ = 49760815104. Its totient is φ = 3135283200.

The previous prime is 13232211071. The next prime is 13232211127. The reversal of 13232211120 is 2111223231.

13232211120 is a `hidden beast` number, since 1 + 323 + 221 + 1 + 120 = 666.

It is a super-2 number, since 2×132322111202 (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 a junction number, because it is equal to n+sod(n) for n = 13232211093 and 13232211102.

It is not an unprimeable number, because it can be changed into a prime (13232211127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16315515 + ... + 16316325.

Almost surely, 213232211120 is an apocalyptic number.

13232211120 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 13232211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24880407552).

13232211120 is an abundant number, since it is smaller than the sum of its proper divisors (36528603984).

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

13232211120 is a wasteful number, since it uses less digits than its factorization.

13232211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13232211120 its reverse (2111223231), we get a palindrome (15343434351).

The spelling of 13232211120 in words is "thirteen billion, two hundred thirty-two million, two hundred eleven thousand, one hundred twenty".