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10024011312 = 243733898803
BaseRepresentation
bin10010101010111101…
…00100011000110000
3221212120221112110020
421111132210120300
5131012121330222
64334401203440
7503255455530
oct112536443060
927776845406
1010024011312
114284325077
121b39030580
13c39976653
146b14134c0
153da05265c
hex2557a4630

10024011312 has 80 divisors (see below), whose sum is σ = 29606795520. Its totient is φ = 2862832896.

The previous prime is 10024011281. The next prime is 10024011313. The reversal of 10024011312 is 21311042001.

It is a super-2 number, since 2×100240113122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024011291 and 10024011300.

It is not an unprimeable number, because it can be changed into a prime (10024011313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134303 + ... + 1143105.

It is an arithmetic number, because the mean of its divisors is an integer number (370084944).

Almost surely, 210024011312 is an apocalyptic number.

10024011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024011312 is an abundant number, since it is smaller than the sum of its proper divisors (19582784208).

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

10024011312 is a wasteful number, since it uses less digits than its factorization.

10024011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10024011312 its reverse (21311042001), we get a palindrome (31335053313).

The spelling of 10024011312 in words is "ten billion, twenty-four million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3389 6778 8803 10167 13556 17606 20334 23723 26409 27112 35212 40668 47446 52818 54224 61621 70424 71169 81336 94892 105636 123242 140848 142338 162672 184863 189784 211272 246484 284676 369726 379568 422544 492968 569352 739452 985936 1138704 1478904 2957808 29833367 59666734 89500101 119333468 179000202 208833569 238666936 358000404 417667138 477333872 626500707 716000808 835334276 1253001414 1432001616 1670668552 2506002828 3341337104 5012005656 10024011312