Search a number
-
+
10312210120300 = 22521110192819173
BaseRepresentation
bin1001011000001111111110…
…0111101111111001101100
31100111211121122122122210021
42112003333213233321230
52322423401242322200
633533210335251524
72113014115521214
oct226037747577154
940454548578707
1010312210120300
113316424857430
1211a66aa379ba4
1359a58b80a48a
14279183b47244
1512d39e52a41a
hex960ff9efe6c

10312210120300 has 72 divisors (see below), whose sum is σ = 24653515167792. Its totient is φ = 3712766880000.

The previous prime is 10312210120297. The next prime is 10312210120307. The reversal of 10312210120300 is 302101221301.

It is not an unprimeable number, because it can be changed into a prime (10312210120307) 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, 46298487 + ... + 46520686.

It is an arithmetic number, because the mean of its divisors is an integer number (342409932886).

Almost surely, 210312210120300 is an apocalyptic number.

10312210120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312210120300 is an abundant number, since it is smaller than the sum of its proper divisors (14341305047492).

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

10312210120300 is a wasteful number, since it uses less digits than its factorization.

10312210120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92819299 (or 92819292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10312210120300 its reverse (302101221301), we get a palindrome (10614311341601).

The spelling of 10312210120300 in words is "ten trillion, three hundred twelve billion, two hundred ten million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 92819173 185638346 371276692 464095865 928191730 1021010903 1856383460 2042021806 2320479325 4084043612 4640958650 5105054515 9281917300 9374736473 10210109030 18749472946 20420218060 25525272575 37498945892 46873682365 51050545150 93747364730 102101090300 103122101203 187494729460 206244202406 234368411825 412488404812 468736823650 515610506015 937473647300 1031221012030 2062442024060 2578052530075 5156105060150 10312210120300