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12300032023020 = 22325743964734369
BaseRepresentation
bin1011001011111101001100…
…0010100001100111101100
31121112212112101021001212100
42302333103002201213230
53103010431144214040
642054320125335100
72406435155100420
oct262772302414754
947485471231770
1012300032023020
113a12461463505
1214679b3a07490
136b2b71051211
14307479098b80
15164e43307b30
hexb2fd30a19ec

12300032023020 has 288 divisors, whose sum is σ = 42804540979200. Its totient is φ = 2800614776832.

The previous prime is 12300032022997. The next prime is 12300032023043. The reversal of 12300032023020 is 2032023000321.

It is a happy number.

12300032023020 is a `hidden beast` number, since 1 + 2 + 300 + 0 + 320 + 23 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12300032022997) and next prime (12300032023043).

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 = 12300032022984 and 12300032023002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357864396 + ... + 357898764.

It is an arithmetic number, because the mean of its divisors is an integer number (148626878400).

Almost surely, 212300032023020 is an apocalyptic number.

12300032023020 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 12300032023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21402270489600).

12300032023020 is an abundant number, since it is smaller than the sum of its proper divisors (30504508956180).

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

12300032023020 is a wasteful number, since it uses less digits than its factorization.

12300032023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35477 (or 35472 counting only the distinct ones).

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

Adding to 12300032023020 its reverse (2032023000321), we get a palindrome (14332055023341).

The spelling of 12300032023020 in words is "twelve trillion, three hundred billion, thirty-two million, twenty-three thousand, twenty".