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2024102312130 = 2351726361924379
BaseRepresentation
bin11101011101000101111…
…001100011100011000010
321011111120011121011112010
4131131011321203203002
5231130330142442010
64145505413113350
7266144066530443
oct35350571434302
97144504534463
102024102312130
11710464a94708
1228834b928856
13118b44b03722
146dd7791d2ca
15379b8e7d620
hex1d745e638c2

2024102312130 has 128 divisors (see below), whose sum is σ = 5171711846400. Its totient is φ = 505240095744.

The previous prime is 2024102312129. The next prime is 2024102312143. The reversal of 2024102312130 is 312132014202.

It is a junction number, because it is equal to n+sod(n) for n = 2024102312097 and 2024102312106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83014281 + ... + 83038659.

It is an arithmetic number, because the mean of its divisors is an integer number (40403998800).

Almost surely, 22024102312130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024102312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585855923200).

2024102312130 is an abundant number, since it is smaller than the sum of its proper divisors (3147609534270).

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

2024102312130 is a wasteful number, since it uses less digits than its factorization.

2024102312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25288.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2024102312130 its reverse (312132014202), we get a palindrome (2336234326332).

The spelling of 2024102312130 in words is "two trillion, twenty-four billion, one hundred two million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 263 510 526 619 789 1238 1315 1578 1857 2630 3095 3714 3945 4471 6190 7890 8942 9285 10523 13413 18570 21046 22355 24379 26826 31569 44710 48758 52615 63138 67065 73137 105230 121895 134130 146274 157845 162797 243790 315690 325594 365685 414443 488391 731370 813985 828886 976782 1243329 1627970 2072215 2441955 2486658 2767549 4144430 4883910 5535098 6216645 6411677 8302647 12433290 12823354 13837745 15090601 16605294 19235031 27675490 30181202 32058385 38470062 41513235 45271803 64116770 75453005 83026470 90543606 96175155 108998509 150906010 192350310 217997018 226359015 256540217 326995527 452718030 513080434 544992545 653991054 769620651 1089985090 1282701085 1539241302 1634977635 2565402170 3269955270 3848103255 3968828063 7696206510 7937656126 11906484189 19844140315 23812968378 39688280630 59532420945 67470077071 119064841890 134940154142 202410231213 337350385355 404820462426 674700770710 1012051156065 2024102312130