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12130022223 = 32111759151809
BaseRepresentation
bin10110100110000000…
…10111001101001111
31011022100202222022100
423103000113031033
5144320241202343
65323352250143
7606410326164
oct132300271517
934270688270
1012130022223
115165099260
1224263a0953
1311b408a457
14830dc606b
154aeda59d3
hex2d301734f

12130022223 has 96 divisors (see below), whose sum is σ = 20743257600. Its totient is φ = 6748416000.

The previous prime is 12130022221. The next prime is 12130022231. The reversal of 12130022223 is 32222003121.

12130022223 is a `hidden beast` number, since 121 + 300 + 22 + 223 = 666.

12130022223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12130022223 - 21 = 12130022221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12130022196 and 12130022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130022221) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14993443 + ... + 14994251.

It is an arithmetic number, because the mean of its divisors is an integer number (216075600).

Almost surely, 212130022223 is an apocalyptic number.

12130022223 is a deficient number, since it is larger than the sum of its proper divisors (8613235377).

12130022223 is a wasteful number, since it uses less digits than its factorization.

12130022223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12130022223 its reverse (32222003121), we get a palindrome (44352025344).

The spelling of 12130022223 in words is "twelve billion, one hundred thirty million, twenty-two thousand, two hundred twenty-three".

Divisors: 1 3 9 11 17 33 51 59 99 151 153 177 187 453 531 561 649 809 1003 1359 1661 1683 1947 2427 2567 3009 4983 5841 7281 7701 8899 8909 9027 11033 13753 14949 23103 26697 26727 28237 33099 41259 47731 80091 80181 84711 97999 99297 122159 123777 143193 151283 151453 254133 293997 366477 429579 453849 454359 525041 811427 881991 1099431 1343749 1361547 1363077 1575123 1665983 2076703 2434281 4031247 4725369 4997949 6230109 7207381 7302843 8925697 12093741 14993847 18690327 21622143 22843733 26777091 64866429 68531199 79281191 80331273 122525477 205593597 237843573 367576431 713530719 1102729293 1347780247 4043340741 12130022223