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20421240300 = 223252296071289
BaseRepresentation
bin10011000001001100…
…110110010111101100
31221201012011111022100
4103001030312113230
5313310314142200
613214214015100
71322025451506
oct230114662754
957635144270
1020421240300
11872a2920aa
123b5b047490
131c05a45056
14dba218d76
157e7c27d00
hex4c13365ec

20421240300 has 216 divisors, whose sum is σ = 66377001600. Its totient is φ = 5245148160.

The previous prime is 20421240283. The next prime is 20421240311. The reversal of 20421240300 is 304212402.

20421240300 is a `hidden beast` number, since 2 + 0 + 421 + 240 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 15842056 + ... + 15843344.

Almost surely, 220421240300 is an apocalyptic number.

20421240300 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 20421240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33188500800).

20421240300 is an abundant number, since it is smaller than the sum of its proper divisors (45955761300).

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

20421240300 is a wasteful number, since it uses less digits than its factorization.

20421240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20421240300 its reverse (304212402), we get a palindrome (20725452702).

The spelling of 20421240300 in words is "twenty billion, four hundred twenty-one million, two hundred forty thousand, three hundred".