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4113122300 = 225277182759
BaseRepresentation
bin1111010100101001…
…0100001111111100
3101121122120021001222
43311022110033330
531410424403200
61520050252512
7203632651130
oct36512241774
911548507058
104113122300
111820828731
12969587138
135071aaca1
142b039d3c0
1519116cd85
hexf52943fc

4113122300 has 72 divisors (see below), whose sum is σ = 10344337920. Its totient is φ = 1390334400.

The previous prime is 4113122257. The next prime is 4113122317. The reversal of 4113122300 is 32213114.

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, 8321 + ... + 91079.

It is an arithmetic number, because the mean of its divisors is an integer number (143671360).

Almost surely, 24113122300 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 4113122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172168960).

4113122300 is an abundant number, since it is smaller than the sum of its proper divisors (6231215620).

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

4113122300 is a wasteful number, since it uses less digits than its factorization.

4113122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82851 (or 82844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4113122300 is about 64133.6284643244. The cubic root of 4113122300 is about 1602.2263667658.

Adding to 4113122300 its reverse (32213114), we get a palindrome (4145335414).

The spelling of 4113122300 in words is "four billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 24850 49700 82759 165518 331036 413795 579313 827590 1158626 1655180 2068975 2317252 2896565 4137950 5793130 5875889 8275900 11586260 11751778 14482825 23503556 28965650 29379445 41131223 57931300 58758890 82262446 117517780 146897225 164524892 205656115 293794450 411312230 587588900 822624460 1028280575 2056561150 4113122300