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11220434430 = 2355319136947
BaseRepresentation
bin10100111001100101…
…00011110111111110
31001221222020010102120
422130302203313332
5140434412400210
65053220503410
7545024055552
oct123462436776
931858203376
1011220434430
114838708507
12221184ab66
13109a7b7a1a
14786291862
1545a0d3270
hex29cca3dfe

11220434430 has 64 divisors (see below), whose sum is σ = 27581534208. Its totient is φ = 2920211840.

The previous prime is 11220434359. The next prime is 11220434437. The reversal of 11220434430 is 3443402211.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11220434430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220434437) 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, 285217 + ... + 322163.

It is an arithmetic number, because the mean of its divisors is an integer number (430961472).

Almost surely, 211220434430 is an apocalyptic number.

11220434430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220434430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13790767104).

11220434430 is an abundant number, since it is smaller than the sum of its proper divisors (16361099778).

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

11220434430 is a wasteful number, since it uses less digits than its factorization.

11220434430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37201.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11220434430 its reverse (3443402211), we get a palindrome (14663836641).

The spelling of 11220434430 in words is "eleven billion, two hundred twenty million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 191 265 318 382 530 573 795 955 1146 1590 1910 2865 5730 10123 20246 30369 36947 50615 60738 73894 101230 110841 151845 184735 221682 303690 369470 554205 1108410 1958191 3916382 5874573 7056877 9790955 11749146 14113754 19581910 21170631 29372865 35284385 42341262 58745730 70568770 105853155 211706310 374014481 748028962 1122043443 1870072405 2244086886 3740144810 5610217215 11220434430