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4201221024 = 25327111321959
BaseRepresentation
bin1111101001101001…
…1000101110100000
3101211210100010210200
43322122120232200
532101003033044
61532514425200
7206052534540
oct37232305640
911753303720
104201221024
1118665305a0
12992b92200
1351c515700
142bbd73320
15198c71369
hexfa698ba0

4201221024 has 864 divisors, whose sum is σ = 17265830400. Its totient is φ = 938096640.

The previous prime is 4201221001. The next prime is 4201221041.

4201221024 is a `hidden beast` number, since 420 + 1 + 221 + 0 + 24 = 666.

4201221024 is nontrivially palindromic in base 10.

4201221024 is digitally balanced in base 2, 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 = 4201220988 and 4201221006.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71207107 + ... + 71207165.

It is an arithmetic number, because the mean of its divisors is an integer number (19983600).

Almost surely, 24201221024 is an apocalyptic number.

4201221024 is a gapful number since it is divisible by the number (44) 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 4201221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632915200).

4201221024 is an abundant number, since it is smaller than the sum of its proper divisors (13064609376).

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

4201221024 is a wasteful number, since it uses less digits than its factorization.

4201221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4201221024 is about 64816.8267041823. The cubic root of 4201221024 is about 1613.5849828674.

It can be divided in two parts, 42012 and 21024, that added together give a palindrome (63036).

The spelling of 4201221024 in words is "four billion, two hundred one million, two hundred twenty-one thousand, twenty-four".