Search a number
-
+
12310010320 = 24519232231579
BaseRepresentation
bin10110111011011101…
…11101100111010000
31011202220110022120011
423131232331213100
5200202330312240
65353302124304
7614024234626
oct133556754720
934686408504
1012310010320
115247752a53
122476720694
131212458a9a
1484ac79516
154c0aaa6ea
hex2ddbbd9d0

12310010320 has 160 divisors (see below), whose sum is σ = 31597977600. Its totient is φ = 4439204352.

The previous prime is 12310010303. The next prime is 12310010327. The reversal of 12310010320 is 2301001321.

It is a self number, because there is not a number n which added to its sum of digits gives 12310010320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310010327) 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, 7795291 + ... + 7796869.

It is an arithmetic number, because the mean of its divisors is an integer number (197487360).

Almost surely, 212310010320 is an apocalyptic number.

12310010320 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 12310010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15798988800).

12310010320 is an abundant number, since it is smaller than the sum of its proper divisors (19287967280).

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

12310010320 is a wasteful number, since it uses less digits than its factorization.

12310010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12310010320 its reverse (2301001321), we get a palindrome (14611011641).

The spelling of 12310010320 in words is "twelve billion, three hundred ten million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 223 230 304 368 380 437 446 460 760 874 892 920 1115 1520 1579 1748 1784 1840 2185 2230 3158 3496 3568 4237 4370 4460 5129 6316 6992 7895 8474 8740 8920 10258 12632 15790 16948 17480 17840 20516 21185 25264 25645 30001 31580 33896 34960 36317 41032 42370 51290 60002 63160 67792 72634 82064 84740 97451 102580 120004 126320 145268 150005 169480 181585 194902 205160 240008 290536 300010 338960 352117 363170 389804 410320 480016 487255 581072 600020 690023 704234 726340 779608 974510 1200040 1380046 1408468 1452680 1559216 1760585 1949020 2400080 2760092 2816936 2905360 3450115 3521170 3898040 5520184 5633872 6690223 6900230 7042340 7796080 8098691 11040368 13380446 13800460 14084680 16197382 26760892 27600920 28169360 32394764 33451115 40493455 53521784 55201840 64789528 66902230 80986910 107043568 129579056 133804460 153875129 161973820 267608920 307750258 323947640 535217840 615500516 647895280 769375645 1231001032 1538751290 2462002064 3077502580 6155005160 12310010320