Search a number
-
+
231011300 = 2252131710453
BaseRepresentation
bin11011100010011…
…11001111100100
3121002200120221002
431301033033210
5433114330200
634531212432
75503364222
oct1561171744
9532616832
10231011300
11109444233
1265447118
1338b246a0
1422975b12
1515432bd5
hexdc4f3e4

231011300 has 72 divisors (see below), whose sum is σ = 571666536. Its totient is φ = 80271360.

The previous prime is 231011281. The next prime is 231011309. The reversal of 231011300 is 3110132.

It can be written as a sum of positive squares in 12 ways, for example, as 15038884 + 215972416 = 3878^2 + 14696^2 .

It is not an unprimeable number, because it can be changed into a prime (231011309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16874 + ... + 27326.

It is an arithmetic number, because the mean of its divisors is an integer number (7939813).

Almost surely, 2231011300 is an apocalyptic number.

231011300 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 231011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285833268).

231011300 is an abundant number, since it is smaller than the sum of its proper divisors (340655236).

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

231011300 is a wasteful number, since it uses less digits than its factorization.

231011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 231011300 is about 15199.0558917322. The cubic root of 231011300 is about 613.5892487749.

Adding to 231011300 its reverse (3110132), we get a palindrome (234121432).

The spelling of 231011300 in words is "two hundred thirty-one million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 10453 11050 20906 22100 41812 52265 104530 135889 177701 209060 261325 271778 355402 522650 543556 679445 710804 888505 1045300 1358890 1777010 2310113 2717780 3397225 3554020 4442525 4620226 6794450 8885050 9240452 11550565 13588900 17770100 23101130 46202260 57752825 115505650 231011300