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10112341344 = 253759255053
BaseRepresentation
bin10010110101011111…
…00001010101100000
3222002202011011110220
421122233201111200
5131202224410334
64351234323040
7505410324510
oct113257412540
928082134426
1010112341344
11431a1757a6
121b62729480
13c52062441
146bd047840
153e2b9e449
hex25abe1560

10112341344 has 96 divisors (see below), whose sum is σ = 30851331840. Its totient is φ = 2840259072.

The previous prime is 10112341303. The next prime is 10112341363. The reversal of 10112341344 is 44314321101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87879 + ... + 167174.

It is an arithmetic number, because the mean of its divisors is an integer number (321368040).

Almost surely, 210112341344 is an apocalyptic number.

10112341344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10112341344 is an abundant number, since it is smaller than the sum of its proper divisors (20738990496).

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

10112341344 is a wasteful number, since it uses less digits than its factorization.

10112341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255132 (or 255124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10112341344 its reverse (44314321101), we get a palindrome (54426662445).

The spelling of 10112341344 in words is "ten billion, one hundred twelve million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 6608 9912 13216 19824 39648 255053 510106 765159 1020212 1530318 1785371 2040424 3060636 3570742 4080848 5356113 6121272 7141484 8161696 10712226 12242544 14282968 15048127 21424452 24485088 28565936 30096254 42848904 45144381 57131872 60192508 85697808 90288762 105336889 120385016 171395616 180577524 210673778 240770032 316010667 361155048 421347556 481540064 632021334 722310096 842695112 1264042668 1444620192 1685390224 2528085336 3370780448 5056170672 10112341344