Search a number
-
+
12434304311 = 11131925118233
BaseRepresentation
bin10111001010010010…
…00110110100110111
31012002120100002212022
423211021012310313
5200431140214221
65413502143355
7620063562032
oct134511066467
935076302768
1012434304311
115300927960
1224b0281b5b
131232127320
1485d592019
154cb95d4ab
hex2e5246d37

12434304311 has 32 divisors (see below), whose sum is σ = 15439092480. Its totient is φ = 9845280000.

The previous prime is 12434304287. The next prime is 12434304313. The reversal of 12434304311 is 11340343421.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12434304311 - 214 = 12434287927 is a prime.

It is a super-2 number, since 2×124343043112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434304313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672851 + ... + 691083.

It is an arithmetic number, because the mean of its divisors is an integer number (482471640).

Almost surely, 212434304311 is an apocalyptic number.

12434304311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12434304311 is a deficient number, since it is larger than the sum of its proper divisors (3004788169).

12434304311 is a wasteful number, since it uses less digits than its factorization.

12434304311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18527.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12434304311 its reverse (11340343421), we get a palindrome (23774647732).

The spelling of 12434304311 in words is "twelve billion, four hundred thirty-four million, three hundred four thousand, three hundred eleven".

Divisors: 1 11 13 19 143 209 247 251 2717 2761 3263 4769 18233 35893 52459 61997 200563 237029 346427 681967 2607319 3810697 4503551 4576483 49539061 50341313 59494279 86953177 654437069 956484947 1130391301 12434304311