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12223033313013 = 331723075102453
BaseRepresentation
bin1011000111011110010110…
…0011110000011011110101
31121021111210012121022202000
42301313211203300123311
53100230233012004023
641555103424005513
72401041105623415
oct261674543603365
947244705538660
1012223033313013
113992839718a86
121454aa5160899
136a881c962b53
14303852b80645
15162e38585243
hexb1de58f06f5

12223033313013 has 48 divisors (see below), whose sum is σ = 19298705616960. Its totient is φ = 7644371127552.

The previous prime is 12223033313003. The next prime is 12223033313039. The reversal of 12223033313013 is 31031333032221.

12223033313013 is a `hidden beast` number, since 1 + 2 + 2 + 23 + 0 + 3 + 331 + 301 + 3 = 666.

It is not a de Polignac number, because 12223033313013 - 26 = 12223033312949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223033313003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155706 + ... + 4946747.

It is an arithmetic number, because the mean of its divisors is an integer number (402056367020).

Almost surely, 212223033313013 is an apocalyptic number.

It is an amenable number.

12223033313013 is a deficient number, since it is larger than the sum of its proper divisors (7075672303947).

12223033313013 is a wasteful number, since it uses less digits than its factorization.

12223033313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102803 (or 5102780 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12223033313013 its reverse (31031333032221), we get a palindrome (43254366345234).

The spelling of 12223033313013 in words is "twelve trillion, two hundred twenty-three billion, thirty-three million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 9 17 27 51 153 289 307 459 867 921 2601 2763 5219 7803 8289 15657 46971 88723 140913 266169 798507 2395521 5102453 15307359 45922077 86741701 137766231 260225103 780675309 1474608917 1566453071 2342025927 4423826751 4699359213 13271480253 14098077639 26629702207 39814440759 42294232917 79889106621 239667319863 452704937519 719001959589 1358114812557 4074344437671 12223033313013