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21420013120 = 2651143473011
BaseRepresentation
bin10011111100101110…
…110111011001000000
32001021210112102001021
4103330232313121000
5322332010404440
613501253115224
71355544051562
oct237456673100
961253472037
1021420013120
1190a2047990
124199628b14
13203494279c
141072b27332
1585576584a
hex4fcbb7640

21420013120 has 224 divisors, whose sum is σ = 58168129536. Its totient is φ = 7443609600.

The previous prime is 21420013103. The next prime is 21420013133. The reversal of 21420013120 is 2131002412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21420013094 and 21420013103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7112415 + ... + 7115425.

Almost surely, 221420013120 is an apocalyptic number.

21420013120 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 21420013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29084064768).

21420013120 is an abundant number, since it is smaller than the sum of its proper divisors (36748116416).

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

21420013120 is a wasteful number, since it uses less digits than its factorization.

21420013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21420013120 its reverse (2131002412), we get a palindrome (23551015532).

The spelling of 21420013120 in words is "twenty-one billion, four hundred twenty million, thirteen thousand, one hundred twenty".