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223314104013 = 37111374363671
BaseRepresentation
bin1100111111111010001…
…1101100111011001101
3210100102010212212210020
43033332203230323031
512124321402312023
6250331124132353
722063634364510
oct3177643547315
9710363785706
10223314104013
1186785a98660
12373435370b9
131809b4a69b0
14ab465b4d77
155c2012bde3
hex33fe8ececd

223314104013 has 32 divisors (see below), whose sum is σ = 399779100672. Its totient is φ = 107083684800.

The previous prime is 223314103979. The next prime is 223314104029. The reversal of 223314104013 is 310401413322.

It is a happy number.

It is not a de Polignac number, because 223314104013 - 29 = 223314103501 is a prime.

It is a super-3 number, since 3×2233141040133 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223314104213) 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, 37178833 + ... + 37184838.

It is an arithmetic number, because the mean of its divisors is an integer number (12493096896).

Almost surely, 2223314104013 is an apocalyptic number.

It is an amenable number.

223314104013 is a deficient number, since it is larger than the sum of its proper divisors (176464996659).

223314104013 is a wasteful number, since it uses less digits than its factorization.

223314104013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74363705.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 223314104013 its reverse (310401413322), we get a palindrome (533715517335).

The spelling of 223314104013 in words is "two hundred twenty-three billion, three hundred fourteen million, one hundred four thousand, thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 74363671 223091013 520545697 818000381 966727723 1561637091 2454001143 2900183169 5726002667 6767094061 10634004953 17178008001 20301282183 31902014859 74438034671 223314104013