Search a number
-
+
10212323112300 = 22352120712820071
BaseRepresentation
bin1001010010011011110111…
…1001000011010101101100
31100011021210100121220102110
42110212331321003111230
52314304314204043200
633415250530124020
72102546613125361
oct224467571032554
940137710556373
1010212323112300
113288027186951
12118b272420610
1359103053cc0a
142743c9ada468
1512a9a51aeb50
hex949bde4356c

10212323112300 has 72 divisors (see below), whose sum is σ = 29550113171712. Its totient is φ = 2723059592000.

The previous prime is 10212323112281. The next prime is 10212323112307. The reversal of 10212323112300 is 321132321201.

It is a super-2 number, since 2×102123231123002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10212323112307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2211265 + ... + 5031335.

It is an arithmetic number, because the mean of its divisors is an integer number (410418238496).

Almost surely, 210212323112300 is an apocalyptic number.

10212323112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212323112300 is an abundant number, since it is smaller than the sum of its proper divisors (19337790059412).

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

10212323112300 is a wasteful number, since it uses less digits than its factorization.

10212323112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832159 (or 2832152 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10212323112300 its reverse (321132321201), we get a palindrome (10533455433501).

The spelling of 10212323112300 in words is "ten trillion, two hundred twelve billion, three hundred twenty-three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12071 24142 36213 48284 60355 72426 120710 144852 181065 241420 301775 362130 603550 724260 905325 1207100 1810650 2820071 3621300 5640142 8460213 11280284 14100355 16920426 28200710 33840852 42301065 56401420 70501775 84602130 141003550 169204260 211505325 282007100 423010650 846021300 34041077041 68082154082 102123231123 136164308164 170205385205 204246462246 340410770410 408492924492 510616155615 680821540820 851026926025 1021232311230 1702053852050 2042464622460 2553080778075 3404107704100 5106161556150 10212323112300