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5040101310 = 2351923936997
BaseRepresentation
bin1001011000110100…
…11101011110111110
3111000020211200012220
410230122131132332
540310231220220
62152042510210
7235620103626
oct45432353676
914006750186
105040101310
112157007792
12b87b05366
1362425c58a
1435b53d886
151e7728540
hex12c69d7be

5040101310 has 64 divisors (see below), whose sum is σ = 12786508800. Its totient is φ = 1267926912.

The previous prime is 5040101309. The next prime is 5040101317. The reversal of 5040101310 is 131010405.

It is a super-2 number, since 2×50401013102 = 50805242430127432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5040101310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040101317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117732 + ... + 154728.

It is an arithmetic number, because the mean of its divisors is an integer number (199789200).

Almost surely, 25040101310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393254400).

5040101310 is an abundant number, since it is smaller than the sum of its proper divisors (7746407490).

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

5040101310 is a wasteful number, since it uses less digits than its factorization.

5040101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37265.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5040101310 is about 70993.6709150893. The cubic root of 5040101310 is about 1714.5352643754.

Adding to 5040101310 its reverse (131010405), we get a palindrome (5171111715).

The spelling of 5040101310 in words is "five billion, forty million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 239 285 478 570 717 1195 1434 2390 3585 4541 7170 9082 13623 22705 27246 36997 45410 68115 73994 110991 136230 184985 221982 369970 554955 702943 1109910 1405886 2108829 3514715 4217658 7029430 8842283 10544145 17684566 21088290 26526849 44211415 53053698 88422830 132634245 168003377 265268490 336006754 504010131 840016885 1008020262 1680033770 2520050655 5040101310