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223130311331313 = 32913140734806773
BaseRepresentation
bin110010101110111110010010…
…111100100000110111110001
31002021001001100001010100120110
4302232332102330200313301
5213221231334200100223
62110320352215131533
764666430056543401
oct6256762274406761
91067031301110513
10223130311331313
1165107040829aa1
1221038195973ba9
139767137611939
143d157c9726801
151abe1e89c8d93
hexcaef92f20df1

223130311331313 has 32 divisors (see below), whose sum is σ = 310191508851840. Its totient is φ = 142492718251520.

The previous prime is 223130311331281. The next prime is 223130311331327. The reversal of 223130311331313 is 313133113031322.

It is a cyclic number.

It is not a de Polignac number, because 223130311331313 - 25 = 223130311331281 is a prime.

It is a super-3 number, since 3×2231303113313133 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223130311331713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44016595 + ... + 48823367.

It is an arithmetic number, because the mean of its divisors is an integer number (9693484651620).

Almost surely, 2223130311331313 is an apocalyptic number.

It is an amenable number.

223130311331313 is a deficient number, since it is larger than the sum of its proper divisors (87061197520527).

223130311331313 is a wasteful number, since it uses less digits than its factorization.

223130311331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811009.

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 223130311331313 its reverse (313133113031322), we get a palindrome (536263424362635).

The spelling of 223130311331313 in words is "two hundred twenty-three trillion, one hundred thirty billion, three hundred eleven million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 29 87 131 393 3799 4073 11397 12219 118117 354351 533563 1600689 4806773 14420319 15473327 46419981 139396417 418189251 629687263 1889061789 18260930627 19577986429 54782791881 58733959287 567761606441 1703284819323 2564716222199 7694148666597 74376770443771 223130311331313