Search a number
-
+
1002130102230 = 2352359107230059
BaseRepresentation
bin11101001010100111001…
…10111101011111010110
310112210200011120211102020
432211103212331133112
5112404330301232410
62044212221554010
7132254501215425
oct16452346753726
93483604524366
101002130102230
11357001354264
12142277415906
137366769606a
14367092cb2bc
151b103777a70
hexe9539bd7d6

1002130102230 has 128 divisors (see below), whose sum is σ = 2576083046400. Its totient is φ = 248933798784.

The previous prime is 1002130102217. The next prime is 1002130102247. The reversal of 1002130102230 is 322010312001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4240941 + ... + 4470999.

It is an arithmetic number, because the mean of its divisors is an integer number (20125648800).

Almost surely, 21002130102230 is an apocalyptic number.

1002130102230 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 1002130102230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288041523200).

1002130102230 is an abundant number, since it is smaller than the sum of its proper divisors (1573952944170).

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

1002130102230 is a wasteful number, since it uses less digits than its factorization.

1002130102230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230258.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1002130102230 its reverse (322010312001), we get a palindrome (1324140414231).

The spelling of 1002130102230 in words is "one trillion, two billion, one hundred thirty million, one hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 107 115 118 138 177 214 230 295 321 345 354 535 590 642 690 885 1070 1357 1605 1770 2461 2714 3210 4071 4922 6313 6785 7383 8142 12305 12626 13570 14766 18939 20355 24610 31565 36915 37878 40710 63130 73830 94695 145199 189390 230059 290398 435597 460118 690177 725995 871194 1150295 1380354 1451990 2177985 2300590 3450885 4355970 5291357 6901770 10582714 13573481 15874071 24616313 26456785 27146962 31748142 40720443 49232626 52913570 67867405 73848939 79370355 81440886 123081565 135734810 147697878 158740710 203602215 246163130 312190063 369244695 407204430 566175199 624380126 738489390 936570189 1132350398 1452362467 1560950315 1698525597 1873140378 2830875995 2904724934 3121900630 3397051194 4357087401 4682850945 5661751990 7261812335 8492627985 8714174802 9365701890 14523624670 16985255970 21785437005 33404336741 43570874010 66808673482 100213010223 167021683705 200426020446 334043367410 501065051115 1002130102230