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1005402222420 = 2235173193501863
BaseRepresentation
bin11101010000101101010…
…01000110111101010100
310120010010012122202110220
432220112221012331110
5112433030432104140
62045513030514340
7132431542612431
oct16502651067524
93503105582426
101005402222420
11358430386622
12142a2b2059b0
1373a6956645b
1436939acab88
151b245b6ebd0
hexea16a46f54

1005402222420 has 96 divisors (see below), whose sum is σ = 2846074758912. Its totient is φ = 265175851008.

The previous prime is 1005402222413. The next prime is 1005402222499. The reversal of 1005402222420 is 242222045001.

1005402222420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752409 + ... + 2254271.

It is an arithmetic number, because the mean of its divisors is an integer number (29646612072).

Almost surely, 21005402222420 is an apocalyptic number.

1005402222420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005402222420 is an abundant number, since it is smaller than the sum of its proper divisors (1840672536492).

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

1005402222420 is a wasteful number, since it uses less digits than its factorization.

1005402222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502241 (or 502239 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 1005402222420 its reverse (242222045001), we get a palindrome (1247624267421).

The spelling of 1005402222420 in words is "one trillion, five billion, four hundred two million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 193 346 386 519 579 692 772 865 965 1038 1158 1730 1930 2076 2316 2595 2895 3460 3860 5190 5790 10380 11580 33389 66778 100167 133556 166945 200334 333890 400668 500835 501863 667780 1001670 1003726 1505589 2003340 2007452 2509315 3011178 5018630 6022356 7527945 10037260 15055890 30111780 86822299 96859559 173644598 193719118 260466897 290578677 347289196 387438236 434111495 484297795 520933794 581157354 868222990 968595590 1041867588 1162314708 1302334485 1452893385 1736445980 1937191180 2604668970 2905786770 5209337940 5811573540 16756703707 33513407414 50270111121 67026814828 83783518535 100540222242 167567037070 201080444484 251350555605 335134074140 502701111210 1005402222420