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21301210020420 = 22335112734465831
BaseRepresentation
bin1001101011111100100110…
…00011100111101001000100
32210102101010221200100212000
410311332103003213221010
510242444334231123140
6113145350224425300
74325650561504521
oct465762303475104
983371127610760
1021301210020420
11687287980a500
122480398178230
13bb6906ca0595
14538dac3c4148
1526e160125a30
hex135f930e7a44

21301210020420 has 288 divisors, whose sum is σ = 73840567153920. Its totient is φ = 5093189798400.

The previous prime is 21301210020403. The next prime is 21301210020421. The reversal of 21301210020420 is 2402001210312.

It is a happy number.

21301210020420 is a `hidden beast` number, since 2 + 1 + 30 + 1 + 210 + 0 + 2 + 0 + 420 = 666.

21301210020420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 21301210020393 and 21301210020402.

It is not an unprimeable number, because it can be changed into a prime (21301210020421) by changing a digit.

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, 2536905 + ... + 7002735.

Almost surely, 221301210020420 is an apocalyptic number.

21301210020420 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 21301210020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36920283576960).

21301210020420 is an abundant number, since it is smaller than the sum of its proper divisors (52539357133500).

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

21301210020420 is a wasteful number, since it uses less digits than its factorization.

21301210020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465944 (or 4465925 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21301210020420 its reverse (2402001210312), we get a palindrome (23703211230732).

The spelling of 21301210020420 in words is "twenty-one trillion, three hundred one billion, two hundred ten million, twenty thousand, four hundred twenty".