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223130312013301 = 711191031480733909
BaseRepresentation
bin110010101110111110010010…
…111111000111010111110101
31002021001001100002102000002021
4302232332102333013113311
5213221231334333411201
62110320352241513141
764666430065413610
oct6256762277072765
91067031302360067
10223130312013301
1165107041155420
12210381960427b1
1397671377c0194
143d157c9863177
151abe1e8ab0ea1
hexcaef92fc75f5

223130312013301 has 32 divisors (see below), whose sum is σ = 295672947148800. Its totient is φ = 163117647305280.

The previous prime is 223130312013293. The next prime is 223130312013407. The reversal of 223130312013301 is 103310213031322.

It is a cyclic number.

It is not a de Polignac number, because 223130312013301 - 23 = 223130312013293 is a prime.

It is a super-3 number, since 3×2231303120133013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223130312010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740216266 + ... + 740517643.

It is an arithmetic number, because the mean of its divisors is an integer number (9239779598400).

Almost surely, 2223130312013301 is an apocalyptic number.

It is an amenable number.

223130312013301 is a deficient number, since it is larger than the sum of its proper divisors (72542635135499).

223130312013301 is a wasteful number, since it uses less digits than its factorization.

223130312013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480734049.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 223130312013301 its reverse (103310213031322), we get a palindrome (326440525044623).

The spelling of 223130312013301 in words is "two hundred twenty-three trillion, one hundred thirty billion, three hundred twelve million, thirteen thousand, three hundred one".

Divisors: 1 7 11 19 77 103 133 209 721 1133 1463 1957 7931 13699 21527 150689 1480733909 10365137363 16288072999 28133944271 114016510993 152515592627 196937609897 309473386981 1067609148389 1677671518897 2166313708867 2897796259913 11743700632279 20284573819391 31875758859043 223130312013301