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10012323321330 = 2351128209335999
BaseRepresentation
bin1001000110110010110011…
…1110011001010111110010
31022110011120000201211122220
42101230230332121113302
52303020214232240310
633143333044341510
72052236464011651
oct221545476312762
938404500654586
1010012323321330
113210225548800
1211585569a4896
13578209294c35
14268855a71198
1512569bc7c670
hex91b2cf995f2

10012323321330 has 96 divisors (see below), whose sum is σ = 26415970560000. Its totient is φ = 2426926993920.

The previous prime is 10012323321313. The next prime is 10012323321361. The reversal of 10012323321330 is 3312332321001.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10012323321330.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29630671 + ... + 29966669.

It is an arithmetic number, because the mean of its divisors is an integer number (275166360000).

Almost surely, 210012323321330 is an apocalyptic number.

10012323321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012323321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207985280000).

10012323321330 is an abundant number, since it is smaller than the sum of its proper divisors (16403647238670).

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

10012323321330 is a wasteful number, since it uses less digits than its factorization.

10012323321330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344240 (or 344229 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10012323321330 its reverse (3312332321001), we get a palindrome (13324655642331).

The spelling of 10012323321330 in words is "ten trillion, twelve billion, three hundred twenty-three million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 8209 16418 24627 41045 49254 82090 90299 123135 180598 246270 270897 335999 451495 541794 671998 902990 993289 1007997 1354485 1679995 1986578 2015994 2708970 2979867 3359990 3695989 4966445 5039985 5959734 7391978 9932890 10079970 11087967 14899335 18479945 22175934 29798670 36959890 40655879 55439835 81311758 110879670 121967637 203279395 243935274 406558790 609838185 1219676370 2758215791 5516431582 8274647373 13791078955 16549294746 27582157910 30340373701 41373236865 60680747402 82746473730 91021121103 151701868505 182042242206 303403737010 333744110711 455105605515 667488221422 910211211030 1001232332133 1668720553555 2002464664266 3337441107110 5006161660665 10012323321330