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1222103210013 = 327243344314447
BaseRepresentation
bin10001110010001011000…
…001110001100000011101
311022211110110210111222100
4101302023001301200131
5130010331410210023
62333232041035313
7154202566613400
oct21621301614035
94284413714870
101222103210013
11431322446a04
12178a27a85b39
138b3229355ba
1443215c93d37
1521bca404c43
hex11c8b07181d

1222103210013 has 72 divisors (see below), whose sum is σ = 2062997209728. Its totient is φ = 695111010048.

The previous prime is 1222103209993. The next prime is 1222103210051. The reversal of 1222103210013 is 3100123012221.

1222103210013 is a `hidden beast` number, since 122 + 210 + 321 + 0 + 0 + 13 = 666.

It is not a de Polignac number, because 1222103210013 - 25 = 1222103209981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222103210413) 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 71 ways as a sum of consecutive naturals, for example, 84584956 + ... + 84599402.

It is an arithmetic number, because the mean of its divisors is an integer number (28652739024).

Almost surely, 21222103210013 is an apocalyptic number.

It is an amenable number.

1222103210013 is a deficient number, since it is larger than the sum of its proper divisors (840893999715).

1222103210013 is a wasteful number, since it uses less digits than its factorization.

1222103210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15343 (or 15333 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1222103210013 its reverse (3100123012221), we get a palindrome (4322226222234).

The spelling of 1222103210013 in words is "one trillion, two hundred twenty-two billion, one hundred three million, two hundred ten thousand, thirteen".

Divisors: 1 3 7 9 21 49 63 147 433 441 443 1299 1329 3031 3101 3897 3987 9093 9303 14447 21217 21707 27279 27909 43341 63651 65121 101129 130023 190953 191819 195363 303387 575457 707903 910161 1342733 1726371 2123709 4028199 6255551 6371127 6400021 9399131 12084597 18766653 19200063 28197393 43788857 44800147 56299959 57600189 84592179 131366571 134400441 306521999 313601029 394099713 403201323 919565997 940803087 2758697991 2771209093 2822409261 8313627279 19398463651 24940881837 58195390953 135789245557 174586172859 407367736671 1222103210013