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10023231140 = 22513229293349
BaseRepresentation
bin10010101010110111…
…00101111010100100
3221212112110220020222
421111123211322210
5131011421344030
64334332343512
7503246026136
oct112533457244
927775426228
1010023231140
1142839419aa
121b38914b98
13c39762500
146b128d056
153d9e4b3e5
hex2556e5ea4

10023231140 has 144 divisors (see below), whose sum is σ = 23726682000. Its totient is φ = 3550869504.

The previous prime is 10023231137. The next prime is 10023231191. The reversal of 10023231140 is 4113232001.

It can be written as a sum of positive squares in 24 ways, for example, as 5532086884 + 4491144256 = 74378^2 + 67016^2 .

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, 28719686 + ... + 28720034.

It is an arithmetic number, because the mean of its divisors is an integer number (164768625).

Almost surely, 210023231140 is an apocalyptic number.

10023231140 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 10023231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11863341000).

10023231140 is an abundant number, since it is smaller than the sum of its proper divisors (13703450860).

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

10023231140 is a wasteful number, since it uses less digits than its factorization.

10023231140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10023231140 its reverse (4113232001), we get a palindrome (14136463141).

The spelling of 10023231140 in words is "ten billion, twenty-three million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 169 260 290 293 338 349 377 580 586 676 698 754 845 1172 1396 1465 1508 1690 1745 1885 2930 3380 3490 3770 3809 4537 4901 5860 6980 7540 7618 8497 9074 9802 10121 15236 16994 18148 19045 19604 20242 22685 24505 33988 38090 40484 42485 45370 49010 49517 50605 58981 76180 84970 90740 98020 99034 101210 102257 110461 117962 131573 169940 198068 202420 204514 220922 235924 247585 263146 294905 409028 441844 495170 511285 526292 552305 589810 657865 990340 1022570 1104610 1179620 1315730 1329341 1435993 1710449 2045140 2209220 2631460 2658682 2871986 2965453 3420898 5317364 5743972 5930906 6646705 6841796 7179965 8552245 11861812 13293410 14359930 14827265 17104490 17281433 26586820 28719860 29654530 34208980 34562866 38550889 59309060 69125732 77101778 86407165 154203556 172814330 192754445 345628660 385508890 501161557 771017780 1002323114 2004646228 2505807785 5011615570 10023231140