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223242121132101 = 322922312133162059
BaseRepresentation
bin110010110000100110011011…
…010101000011100001000101
31002021102201221020222201220100
4302300212123111003201011
5213230044331002211401
62110444003055154313
765010465605301111
oct6260463325034105
91067381836881810
10223242121132101
116514a4a7518235
122105599a815999
139774845a50886
143d1ad95014741
151ac208e913b86
hexcb099b543845

223242121132101 has 48 divisors (see below), whose sum is σ = 335352399782400. Its totient is φ = 142933723583616.

The previous prime is 223242121132091. The next prime is 223242121132153. The reversal of 223242121132101 is 101231121242322.

223242121132101 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 421 + 2 + 1 + 132 + 101 = 666.

It is not a de Polignac number, because 223242121132101 - 238 = 222967243225157 is a prime.

It is a super-3 number, since 3×2232421211321013 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223242121132201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69019210 + ... + 72181268.

It is an arithmetic number, because the mean of its divisors is an integer number (6986508328800).

Almost surely, 2223242121132101 is an apocalyptic number.

It is an amenable number.

223242121132101 is a deficient number, since it is larger than the sum of its proper divisors (112110278650299).

223242121132101 is a wasteful number, since it uses less digits than its factorization.

223242121132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163530 (or 3163527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 223242121132101 its reverse (101231121242322), we get a palindrome (324473242374423).

The spelling of 223242121132101 in words is "two hundred twenty-three trillion, two hundred forty-two billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 29 87 223 261 669 1213 2007 3639 6467 10917 19401 35177 58203 105531 270499 316593 811497 2434491 3162059 7844471 9486177 23533413 28458531 70600239 91699711 275099133 705139157 825297399 2115417471 3835577567 6346252413 11506732701 20449035553 34520198103 61347106659 111231749443 184041319977 333695248329 855333797441 1001085744987 2566001392323 7698004176969 24804680125789 74414040377367 223242121132101