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13223032020 = 223251131367587
BaseRepresentation
bin11000101000010011…
…10111010011010100
31021010112110121212200
430110021313103110
5204040044011040
610024035244500
7645451626522
oct142411672324
937115417780
1013223032020
115676069740
122690449730
131329661503
148d6225312
15525d0a630
hex3142774d4

13223032020 has 288 divisors, whose sum is σ = 45367934976. Its totient is φ = 3088454400.

The previous prime is 13223032019. The next prime is 13223032061. The reversal of 13223032020 is 2023032231.

It is a happy number.

13223032020 is a `hidden beast` number, since 1 + 322 + 3 + 0 + 320 + 20 = 666.

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 = 13223031984 and 13223032002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22526167 + ... + 22526753.

It is an arithmetic number, because the mean of its divisors is an integer number (157527552).

Almost surely, 213223032020 is an apocalyptic number.

13223032020 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 13223032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22683967488).

13223032020 is an abundant number, since it is smaller than the sum of its proper divisors (32144902956).

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

13223032020 is a wasteful number, since it uses less digits than its factorization.

13223032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13223032020 its reverse (2023032231), we get a palindrome (15246064251).

The spelling of 13223032020 in words is "thirteen billion, two hundred twenty-three million, thirty-two thousand, twenty".