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223106422521105 = 3355214721671903
BaseRepresentation
bin110010101110101000000011…
…000011111011110100010001
31002020221202200012010001121000
4302232220003003323310101
5213220333423131133410
62110301401531052213
764664623064161404
oct6256500303736421
91066852605101530
10223106422521105
11650a79a2160342
12210336295a1069
139764acb376396
143d145a0b91d3b
151abd79b64cdc0
hexcaea030fbd11

223106422521105 has 64 divisors (see below), whose sum is σ = 397479700592640. Its totient is φ = 118736371353600.

The previous prime is 223106422521089. The next prime is 223106422521163. The reversal of 223106422521105 is 501125224601322.

223106422521105 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 0 + 6 + 4 + 22 + 521 + 105 = 666.

It is not a de Polignac number, because 223106422521105 - 24 = 223106422521089 is a prime.

It is a super-3 number, since 3×2231064225211053 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223106422521105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331715584 + ... + 332387486.

It is an arithmetic number, because the mean of its divisors is an integer number (6210620321760).

Almost surely, 2223106422521105 is an apocalyptic number.

It is an amenable number.

223106422521105 is a deficient number, since it is larger than the sum of its proper divisors (174373278071535).

223106422521105 is a wasteful number, since it uses less digits than its factorization.

223106422521105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677159 (or 677153 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 223106422521105 in words is "two hundred twenty-three trillion, one hundred six billion, four hundred twenty-two million, five hundred twenty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 135 521 1563 2605 4689 4721 7815 14067 14163 23445 23605 42489 70335 70815 127467 212445 637335 671903 2015709 2459641 3359515 6047127 7378923 10078545 12298205 18141381 22136769 30235635 36894615 66410307 90706905 110683845 332051535 350061463 1050184389 1750307315 3150553167 3172054063 5250921945 9451659501 9516162189 15752765835 15860270315 28548486567 47258297505 47580810945 85645459701 142742432835 428227298505 1652640166823 4957920500469 8263200834115 14873761501407 24789602502345 44621284504221 74368807507035 223106422521105