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10024434112 = 267211290597
BaseRepresentation
bin10010101011000000…
…01011100111000000
3221212121202000102111
421111200023213000
5131012223342422
64334414225104
7503262166300
oct112540134700
927777660374
1010024434112
1142845937a0
121b391b5194
13c39a93c24
146b14c3600
153da0d7a77
hex25580b9c0

10024434112 has 84 divisors (see below), whose sum is σ = 25243667064. Its totient is φ = 3905610240.

The previous prime is 10024434083. The next prime is 10024434127. The reversal of 10024434112 is 21143442001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110803 + ... + 179794.

It is an arithmetic number, because the mean of its divisors is an integer number (300519846).

Almost surely, 210024434112 is an apocalyptic number.

It is an amenable number.

10024434112 is an abundant number, since it is smaller than the sum of its proper divisors (15219232952).

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

10024434112 is a wasteful number, since it uses less digits than its factorization.

10024434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290634 (or 290617 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10024434112 its reverse (21143442001), we get a palindrome (31167876113).

The spelling of 10024434112 in words is "ten billion, twenty-four million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 616 704 784 1078 1232 1568 2156 2464 3136 4312 4928 8624 17248 34496 290597 581194 1162388 2034179 2324776 3196567 4068358 4649552 6393134 8136716 9299104 12786268 14239253 16273432 18598208 22375969 25572536 28478506 32546864 44751938 51145072 56957012 65093728 89503876 102290144 113914024 130187456 156631783 179007752 204580288 227828048 313263566 358015504 455656096 626527132 716031008 911312192 1253054264 1432062016 2506108528 5012217056 10024434112