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12321106170 = 23529103359383
BaseRepresentation
bin10110111100110010…
…10010100011111010
31011210200100001012120
423132121102203322
5200213200344140
65354340022110
7614220450222
oct133631224372
934720301176
1012321106170
115252a4147a
12247a391936
131214842389
1484c527082
154c1a4d1d0
hex2de6528fa

12321106170 has 128 divisors (see below), whose sum is σ = 31054233600. Its totient is φ = 3124601088.

The previous prime is 12321106163. The next prime is 12321106183. The reversal of 12321106170 is 7160112321.

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 12321106170.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32169799 + ... + 32170181.

It is an arithmetic number, because the mean of its divisors is an integer number (242611200).

Almost surely, 212321106170 is an apocalyptic number.

12321106170 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 12321106170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527116800).

12321106170 is an abundant number, since it is smaller than the sum of its proper divisors (18733127430).

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

12321106170 is a wasteful number, since it uses less digits than its factorization.

12321106170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884.

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 12321106170 its reverse (7160112321), we get a palindrome (19481218491).

The spelling of 12321106170 in words is "twelve billion, three hundred twenty-one million, one hundred six thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 103 145 174 206 290 309 359 383 435 515 618 718 766 870 1030 1077 1149 1545 1795 1915 2154 2298 2987 3090 3590 3830 5385 5745 5974 8961 10411 10770 11107 11490 14935 17922 20822 22214 29870 31233 33321 36977 39449 44805 52055 55535 62466 66642 73954 78898 89610 104110 110931 111070 118347 137497 156165 166605 184885 197245 221862 236694 274994 312330 333210 369770 394490 412491 554655 591735 687485 824982 1072333 1109310 1144021 1183470 1374970 2062455 2144666 2288042 3216999 3432063 3987413 4124910 5361665 5720105 6433998 6864126 7974826 10723330 11440210 11962239 14162191 16084995 17160315 19937065 23924478 28324382 32169990 34320630 39874130 42486573 59811195 70810955 84973146 119622390 141621910 212432865 410703539 424865730 821407078 1232110617 2053517695 2464221234 4107035390 6160553085 12321106170