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4204201300 = 2252135995399
BaseRepresentation
bin1111101010010111…
…0000010101010100
3101211222221112222021
43322211300111110
532102233420200
61533102342524
7206120056435
oct37245602524
911758845867
104204201300
111868186732
12993b8aa44
1352001a0a0
142bc50b48c
1519915e41a
hexfa970554

4204201300 has 72 divisors (see below), whose sum is σ = 9843120000. Its totient is φ = 1549441920.

The previous prime is 4204201297. The next prime is 4204201319. The reversal of 4204201300 is 31024024.

4204201300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42042013003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776001 + ... + 781399.

It is an arithmetic number, because the mean of its divisors is an integer number (136710000).

Almost surely, 24204201300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560000).

4204201300 is an abundant number, since it is smaller than the sum of its proper divisors (5638918700).

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

4204201300 is a wasteful number, since it uses less digits than its factorization.

4204201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4204201300 is about 64839.8126153986. The cubic root of 4204201300 is about 1613.9664427569.

Adding to 4204201300 its reverse (31024024), we get a palindrome (4235225324).

The spelling of 4204201300 in words is "four billion, two hundred four million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 599 650 1198 1300 2396 2995 5399 5990 7787 10798 11980 14975 15574 21596 26995 29950 31148 38935 53990 59900 70187 77870 107980 134975 140374 155740 194675 269950 280748 350935 389350 539900 701870 778700 1403740 1754675 3234001 3509350 6468002 7018700 12936004 16170005 32340010 42042013 64680020 80850025 84084026 161700050 168168052 210210065 323400100 420420130 840840260 1051050325 2102100650 4204201300