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12433221320 = 23513172361151
BaseRepresentation
bin10111001010001001…
…11110011011001000
31012002111022002021112
423211010332123020
5200430401040240
65413423025452
7620051431442
oct134504763310
935074262245
1012433221320
115300258223
1224aba3b288
131231b383c0
1485d38d492
154cb7e7665
hex2e513e6c8

12433221320 has 128 divisors (see below), whose sum is σ = 33286256640. Its totient is φ = 4132761600.

The previous prime is 12433221319. The next prime is 12433221329. The reversal of 12433221320 is 2312233421.

12433221320 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 (23).

It is not an unprimeable number, because it can be changed into a prime (12433221329) 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 31 ways as a sum of consecutive naturals, for example, 172745 + ... + 233895.

It is an arithmetic number, because the mean of its divisors is an integer number (260048880).

Almost surely, 212433221320 is an apocalyptic number.

12433221320 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 12433221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643128320).

12433221320 is an abundant number, since it is smaller than the sum of its proper divisors (20853035320).

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

12433221320 is a wasteful number, since it uses less digits than its factorization.

12433221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61215 (or 61211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12433221320 its reverse (2312233421), we get a palindrome (14745454741).

The spelling of 12433221320 in words is "twelve billion, four hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 23 26 34 40 46 52 65 68 85 92 104 115 130 136 170 184 221 230 260 299 340 391 442 460 520 598 680 782 884 920 1105 1196 1495 1564 1768 1955 2210 2392 2990 3128 3910 4420 5083 5980 7820 8840 10166 11960 15640 20332 25415 40664 50830 61151 101660 122302 203320 244604 305755 489208 611510 794963 1039567 1223020 1406473 1589926 2079134 2446040 2812946 3179852 3974815 4158268 5197835 5625892 6359704 7032365 7949630 8316536 10395670 11251784 13514371 14064730 15899260 18284149 20791340 23910041 27028742 28129460 31798520 36568298 41582680 47820082 54057484 56258920 67571855 73136596 91420745 95640164 108114968 119550205 135143710 146273192 182841490 191280328 239100410 270287420 310830533 365682980 478200820 540574840 621661066 731365960 956401640 1243322132 1554152665 2486644264 3108305330 6216610660 12433221320