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223101221117 is a prime number
BaseRepresentation
bin1100111111000111011…
…1100111100011111101
3210022212022022022100112
43033301313213203331
512123402403033432
6250254041235405
722055441042615
oct3176167474375
9708768268315
10223101221117
1186686906585
12372a4192b65
131806635b898
14ab261dba45
155c0b5ca7b2
hex33f1de78fd

223101221117 has 2 divisors, whose sum is σ = 223101221118. Its totient is φ = 223101221116.

The previous prime is 223101221099. The next prime is 223101221141. The reversal of 223101221117 is 711122101322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216430578841 + 6670642276 = 465221^2 + 81674^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223101221117 is a prime.

It is a super-3 number, since 3×2231012211173 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223101221092 and 223101221101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223101221177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111550610558 + 111550610559.

It is an arithmetic number, because the mean of its divisors is an integer number (111550610559).

Almost surely, 2223101221117 is an apocalyptic number.

It is an amenable number.

223101221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

223101221117 is an equidigital number, since it uses as much as digits as its factorization.

223101221117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 223101221117 its reverse (711122101322), we get a palindrome (934223322439).

The spelling of 223101221117 in words is "two hundred twenty-three billion, one hundred one million, two hundred twenty-one thousand, one hundred seventeen".