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12133223130 = 23571272811619
BaseRepresentation
bin10110100110011001…
…00100101011011010
31011022120210121010110
423103030210223122
5144322101120010
65323545025150
7606446460240
oct132314445332
934276717113
1012133223130
115166985136
1224274851b6
1311b493b392
148315ba790
154b02d9120
hex2d3324ada

12133223130 has 128 divisors (see below), whose sum is σ = 33681899520. Its totient is φ = 2739985920.

The previous prime is 12133223107. The next prime is 12133223147. The reversal of 12133223130 is 3132233121.

12133223130 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 12133223097 and 12133223106.

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 63 ways as a sum of consecutive naturals, for example, 7493461 + ... + 7495079.

It is an arithmetic number, because the mean of its divisors is an integer number (263139840).

Almost surely, 212133223130 is an apocalyptic number.

12133223130 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 12133223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16840949760).

12133223130 is an abundant number, since it is smaller than the sum of its proper divisors (21548676390).

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

12133223130 is a wasteful number, since it uses less digits than its factorization.

12133223130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12133223130 its reverse (3132233121), we get a palindrome (15265456251).

Subtracting from 12133223130 its reverse (3132233121), we obtain a palindrome (9000990009).

The spelling of 12133223130 in words is "twelve billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 281 381 562 635 762 843 889 1270 1405 1619 1686 1778 1905 1967 2667 2810 3238 3810 3934 4215 4445 4857 5334 5901 8095 8430 8890 9714 9835 11333 11802 13335 16190 19670 22666 24285 26670 29505 33999 35687 48570 56665 59010 67998 71374 107061 113330 169995 178435 205613 214122 249809 339990 356870 411226 454939 499618 535305 616839 749427 909878 1028065 1070610 1233678 1249045 1364817 1439291 1498854 2056130 2274695 2498090 2729634 2878582 3084195 3184573 3747135 4317873 4549390 6168390 6369146 6824085 7196455 7494270 8635746 9553719 13648170 14392910 15922865 19107438 21589365 31845730 43178730 47768595 57777253 95537190 115554506 173331759 288886265 346663518 404440771 577772530 808881542 866658795 1213322313 1733317590 2022203855 2426644626 4044407710 6066611565 12133223130