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1030323000213 = 331319219342131
BaseRepresentation
bin11101111111001000000…
…10010101001110010101
310122111102222111102212000
432333210002111032111
5113340100142001323
62105153541345513
7134303236000323
oct16774402251625
93574388442760
101030323000213
11367a59522851
12147825108299
137620b552610
1437c21730d13
151bc038e3e43
hexefe4095395

1030323000213 has 96 divisors (see below), whose sum is σ = 1743921002880. Its totient is φ = 597547653120.

The previous prime is 1030323000199. The next prime is 1030323000229. The reversal of 1030323000213 is 3120003230301.

It is not a de Polignac number, because 1030323000213 - 25 = 1030323000181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030323000283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24434158 + ... + 24476288.

It is an arithmetic number, because the mean of its divisors is an integer number (18165843780).

Almost surely, 21030323000213 is an apocalyptic number.

1030323000213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1030323000213 is a deficient number, since it is larger than the sum of its proper divisors (713598002667).

1030323000213 is a wasteful number, since it uses less digits than its factorization.

1030323000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42384 (or 42359 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1030323000213 its reverse (3120003230301), we get a palindrome (4150326230514).

The spelling of 1030323000213 in words is "one trillion, thirty billion, three hundred twenty-three million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 13 19 27 39 57 117 171 193 247 351 361 513 579 741 1083 1737 2223 2509 3249 3667 4693 5211 6669 7527 9747 11001 14079 22581 33003 42131 42237 47671 67743 69673 99009 126393 126711 143013 209019 379179 429039 547703 627057 800489 905749 1137537 1287117 1643109 1881171 2401467 2717247 4929327 7204401 8131283 8151741 10406357 14787981 15209291 21613203 24393849 24455223 31219071 45627873 73181547 93657213 105706679 136883619 154494377 197720783 219544641 280971639 317120037 410650857 463483131 593162349 951360111 1390449393 1779487047 2008426901 2854080333 2935393163 4171348179 5338461141 6025280703 8806179489 18075842109 26418538467 38160111119 54227526327 79255615401 114480333357 343441000071 1030323000213