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10130002344 = 2333711609067
BaseRepresentation
bin10010110111100101…
…11001000110101000
3222010222101102211000
421123302321012220
5131221240033334
64353105035000
7506013412350
oct113362710650
928128342730
1010130002344
114329138770
121b68625a60
13c55907037
146c1523b60
153e44dc299
hex25bcb91a8

10130002344 has 128 divisors (see below), whose sum is σ = 35082316800. Its totient is φ = 2631165120.

The previous prime is 10130002331. The next prime is 10130002349. The reversal of 10130002344 is 44320003101.

10130002344 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 (18).

It is not an unprimeable number, because it can be changed into a prime (10130002349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 287902 + ... + 321165.

It is an arithmetic number, because the mean of its divisors is an integer number (274080600).

Almost surely, 210130002344 is an apocalyptic number.

10130002344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10130002344 is an abundant number, since it is smaller than the sum of its proper divisors (24952314456).

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

10130002344 is a wasteful number, since it uses less digits than its factorization.

10130002344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609100 (or 609090 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10130002344 its reverse (44320003101), we get a palindrome (54450005445).

The spelling of 10130002344 in words is "ten billion, one hundred thirty million, two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 609067 1218134 1827201 2436268 3654402 4263469 4872536 5481603 6699737 7308804 8526938 10963206 12790407 13399474 14617608 16444809 17053876 20099211 21926412 25580814 26798948 32889618 34107752 38371221 40198422 43852824 46898159 51161628 53597896 60297633 65779236 76742442 80396844 93796318 102323256 115113663 120595266 131558472 140694477 153484884 160793688 180892899 187592636 230227326 241190532 281388954 306969768 361785798 375185272 422083431 460454652 482381064 562777908 723571596 844166862 920909304 1125555816 1266250293 1447143192 1688333724 2532500586 3376667448 5065001172 10130002344