Search a number
-
+
12303404300 = 225211671391201
BaseRepresentation
bin10110111010101011…
…10000110100001100
31011202110000200210202
423131111300310030
5200144132414200
65352504353032
7613614132245
oct133525606414
934673020722
1012303404300
115243a50830
122474475778
131210c84cb5
1484a039ccc
154c02031d5
hex2dd570d0c

12303404300 has 144 divisors (see below), whose sum is σ = 29797676160. Its totient is φ = 4371840000.

The previous prime is 12303404291. The next prime is 12303404357. The reversal of 12303404300 is 340430321.

12303404300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10243700 + ... + 10244900.

Almost surely, 212303404300 is an apocalyptic number.

12303404300 is a gapful number since it is divisible by the number (10) 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 12303404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898838080).

12303404300 is an abundant number, since it is smaller than the sum of its proper divisors (17494271860).

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

12303404300 is a wasteful number, since it uses less digits than its factorization.

12303404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12303404300 its reverse (340430321), we get a palindrome (12643834621).

The spelling of 12303404300 in words is "twelve billion, three hundred three million, four hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 139 220 268 275 278 335 550 556 670 695 737 1100 1201 1340 1390 1474 1529 1675 2402 2780 2948 3058 3350 3475 3685 4804 6005 6116 6700 6950 7370 7645 9313 12010 13211 13900 14740 15290 18425 18626 24020 26422 30025 30580 36850 37252 38225 46565 52844 60050 66055 73700 76450 80467 93130 102443 120100 132110 152900 160934 166939 186260 204886 232825 264220 321868 330275 333878 402335 409772 465650 512215 660550 667756 804670 834695 885137 931300 1024430 1321100 1609340 1669390 1770274 1836329 2011675 2048860 2561075 3338780 3540548 3672658 4023350 4173475 4425685 5122150 7345316 8046700 8346950 8851370 9181645 10244300 11184913 16693900 17702740 18363290 22128425 22369826 36726580 44256850 44739652 45908225 55924565 88513700 91816450 111849130 123034043 183632900 223698260 246068086 279622825 492136172 559245650 615170215 1118491300 1230340430 2460680860 3075851075 6151702150 12303404300