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13012313310 = 233547221817
BaseRepresentation
bin11000001111001100…
…00010010011011110
31020120211222000011000
430013212002103132
5203122123011220
65551111011130
7640312560333
oct140746022336
936524860130
1013012313310
115578125647
122631969aa6
1312c4ac3499
148b625298a
15512585390
hex3079824de

13012313310 has 96 divisors (see below), whose sum is σ = 35455122720. Its totient is φ = 3395965824.

The previous prime is 13012313269. The next prime is 13012313339. The reversal of 13012313310 is 1331321031.

It is a happy number.

13012313310 is a `hidden beast` number, since 1 + 30 + 12 + 313 + 310 = 666.

It is a super-2 number, since 2×130123133102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585522 + ... + 607338.

It is an arithmetic number, because the mean of its divisors is an integer number (369324195).

Almost surely, 213012313310 is an apocalyptic number.

13012313310 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 13012313310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727561360).

13012313310 is an abundant number, since it is smaller than the sum of its proper divisors (22442809410).

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

13012313310 is a wasteful number, since it uses less digits than its factorization.

13012313310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21927 (or 21874 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13012313310 its reverse (1331321031), we get a palindrome (14343634341).

The spelling of 13012313310 in words is "thirteen billion, twelve million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2209 2538 4230 4418 6345 6627 11045 12690 13254 19881 21817 22090 33135 39762 43634 59643 65451 66270 99405 109085 119286 130902 196353 198810 218170 298215 327255 392706 589059 596430 654510 981765 1025399 1178118 1963530 2050798 2945295 3076197 5126995 5890590 6152394 9228591 10253990 15380985 18457182 27685773 30761970 46142955 48193753 55371546 92285910 96387506 138428865 144581259 240968765 276857730 289162518 433743777 481937530 722906295 867487554 1301231331 1445812590 2168718885 2602462662 4337437770 6506156655 13012313310