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23201123220 = 22345112118361
BaseRepresentation
bin10101100110111001…
…010000101110010100
32012212221000011210000
4111212321100232110
5340003441420340
614354120331300
71450642202442
oct254671205624
965787004700
1023201123220
11992647a300
1245b6013b30
13225994a7a2
1411a14c3b92
1590bcdbd30
hex566e50b94

23201123220 has 180 divisors, whose sum is σ = 80001585972. Its totient is φ = 5624467200.

The previous prime is 23201123161. The next prime is 23201123227. The reversal of 23201123220 is 2232110232.

23201123220 is a `hidden beast` number, since 2 + 320 + 1 + 123 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18288234756 + 4912888464 = 135234^2 + 70092^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 23201123193 and 23201123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201123227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 136840 + ... + 255200.

Almost surely, 223201123220 is an apocalyptic number.

23201123220 is a gapful number since it is divisible by the number (20) 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 23201123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40000792986).

23201123220 is an abundant number, since it is smaller than the sum of its proper divisors (56800462752).

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

23201123220 is a wasteful number, since it uses less digits than its factorization.

23201123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118404 (or 118382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23201123220 its reverse (2232110232), we get a palindrome (25433233452).

The spelling of 23201123220 in words is "twenty-three billion, two hundred one million, one hundred twenty-three thousand, two hundred twenty".