[go: up one dir, main page]

Search a number
-
+
31100300 = 22527211577
BaseRepresentation
bin111011010100…
…0110110001100
32011112001120222
41312220312030
530430202200
63030330512
7525230300
oct166506614
964461528
1031100300
1116612130
12a4b9a38
13659ba5a
1441b7d00
152ae4d85
hex1da8d8c

31100300 has 108 divisors (see below), whose sum is σ = 85791384. Its totient is φ = 9676800.

The previous prime is 31100297. The next prime is 31100351. The reversal of 31100300 is 300113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53612 + ... + 54188.

Almost surely, 231100300 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 31100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42895692).

31100300 is an abundant number, since it is smaller than the sum of its proper divisors (54691084).

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

31100300 is a wasteful number, since it uses less digits than its factorization.

31100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 31100300 is about 5576.7642948219. The cubic root of 31100300 is about 314.4764967191.

Adding to 31100300 its reverse (300113), we get a palindrome (31400413).

The spelling of 31100300 in words is "thirty-one million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 350 385 490 539 550 577 700 770 980 1078 1100 1154 1225 1540 1925 2156 2308 2450 2695 2885 3850 4039 4900 5390 5770 6347 7700 8078 10780 11540 12694 13475 14425 16156 20195 25388 26950 28273 28850 31735 40390 44429 53900 56546 57700 63470 80780 88858 100975 113092 126940 141365 158675 177716 201950 222145 282730 311003 317350 403900 444290 565460 622006 634700 706825 888580 1110725 1244012 1413650 1555015 2221450 2827300 3110030 4442900 6220060 7775075 15550150 31100300