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223312013103 = 32321126995683
BaseRepresentation
bin1100111111111001101…
…1101110011100101111
3210100101222221122121010
43033332123232130233
512124320333404403
6250331011240303
722063610535534
oct3177633563457
9710358848533
10223312013103
118678489a733
12373428a9093
131809ac2407a
14ab461ccd8b
155c1ed67603
hex33fe6ee72f

223312013103 has 32 divisors (see below), whose sum is σ = 312338073600. Its totient is φ = 141649532640.

The previous prime is 223312013063. The next prime is 223312013153. The reversal of 223312013103 is 301310213322.

It is not a de Polignac number, because 223312013103 - 213 = 223312004911 is a prime.

It is a super-3 number, since 3×2233120131033 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223312013103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223312013153) 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, 39291900 + ... + 39297582.

It is an arithmetic number, because the mean of its divisors is an integer number (9760564800).

Almost surely, 2223312013103 is an apocalyptic number.

223312013103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

223312013103 is a deficient number, since it is larger than the sum of its proper divisors (89026060497).

223312013103 is a wasteful number, since it uses less digits than its factorization.

223312013103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 223312013103 its reverse (301310213322), we get a palindrome (524622226425).

The spelling of 223312013103 in words is "two hundred twenty-three billion, three hundred twelve million, thirteen thousand, one hundred three".

Divisors: 1 3 23 69 211 633 2699 4853 5683 8097 14559 17049 62077 130709 186231 392127 569489 1199113 1708467 3597339 13098247 15338417 27579599 39294741 46015251 82738797 352783591 1058350773 3236405987 9709217961 74437337701 223312013103