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10021344110 = 25172959131263
BaseRepresentation
bin10010101010101000…
…11001001101101110
3221212101221000201222
421111110121031232
5131010431002420
64334224103342
7503224006451
oct112524311556
927771830658
1010021344110
114282873178
121b38164b52
13c3925161b
146b0d1b498
153d9bc7225
hex25551936e

10021344110 has 128 divisors (see below), whose sum is σ = 20323353600. Its totient is φ = 3540060160.

The previous prime is 10021344079. The next prime is 10021344199. The reversal of 10021344110 is 1144312001.

It is a happy number.

10021344110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38103839 + ... + 38104101.

It is an arithmetic number, because the mean of its divisors is an integer number (158776200).

Almost surely, 210021344110 is an apocalyptic number.

10021344110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021344110 is an abundant number, since it is smaller than the sum of its proper divisors (10302009490).

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

10021344110 is a wasteful number, since it uses less digits than its factorization.

10021344110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10021344110 its reverse (1144312001), we get a palindrome (11165656111).

The spelling of 10021344110 in words is "ten billion, twenty-one million, three hundred forty-four thousand, one hundred ten".

Divisors: 1 2 5 10 17 29 34 58 59 85 118 131 145 170 262 263 290 295 493 526 590 655 986 1003 1310 1315 1711 2006 2227 2465 2630 3422 3799 4454 4471 4930 5015 7598 7627 7729 8555 8942 10030 11135 15254 15458 15517 17110 18995 22270 22355 29087 31034 34453 37990 38135 38645 44710 58174 64583 68906 76270 77290 77585 129166 129659 131393 145435 155170 172265 224141 259318 262786 263789 290870 322915 344530 448282 449993 527578 585701 645830 648295 656965 899986 999137 1120705 1171402 1296590 1313930 1318945 1998274 2032727 2241410 2249965 2637890 2928505 3810397 4065454 4499930 4995685 5857010 7620794 7649881 9991370 10163635 15299762 16985329 19051985 20327270 33970658 34556359 38103970 38249405 58949083 69112718 76498810 84926645 117898166 169853290 172781795 294745415 345563590 589490830 1002134411 2004268822 5010672055 10021344110