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230320132020 = 2234511174317681
BaseRepresentation
bin1101011010000000100…
…1100100111110110100
3211000111101221222110000
43112200021210332310
512233143423211040
6253450235431300
722432355551236
oct3264011447664
9730441858400
10230320132020
118975078a150
12387798b5530
1318946b105b4
14b20cc60256
155ed0237130
hex35a0264fb4

230320132020 has 480 divisors, whose sum is σ = 854028717696. Its totient is φ = 51325747200.

The previous prime is 230320131959. The next prime is 230320132073. The reversal of 230320132020 is 20231023032.

It is a happy number.

230320132020 is a `hidden beast` number, since 2 + 3 + 0 + 320 + 1 + 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 = 230320131984 and 230320132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13017580 + ... + 13035260.

Almost surely, 2230320132020 is an apocalyptic number.

230320132020 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 230320132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427014358848).

230320132020 is an abundant number, since it is smaller than the sum of its proper divisors (623708585676).

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

230320132020 is a wasteful number, since it uses less digits than its factorization.

230320132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17773 (or 17762 counting only the distinct ones).

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

Adding to 230320132020 its reverse (20231023032), we get a palindrome (250551155052).

The spelling of 230320132020 in words is "two hundred thirty billion, three hundred twenty million, one hundred thirty-two thousand, twenty".