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223121003132201 is a prime number
BaseRepresentation
bin110010101110110101101000…
…001000100011010100101001
31002021000011022100002211212012
4302232311220020203110221
5213221103303300212301
62110312212424125305
764665650312263556
oct6256655010432451
91067004270084765
10223121003132201
11651030a4574259
1221036418606835
1397662b3052905
143d15185405a2d
151abdd5171debb
hexcaed68223529

223121003132201 has 2 divisors, whose sum is σ = 223121003132202. Its totient is φ = 223121003132200.

The previous prime is 223121003132197. The next prime is 223121003132219. The reversal of 223121003132201 is 102231300121322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132386310105625 + 90734693026576 = 11505925^2 + 9525476^2 .

It is a cyclic number.

It is not a de Polignac number, because 223121003132201 - 22 = 223121003132197 is a prime.

It is a super-3 number, since 3×2231210031322013 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223121003132101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111560501566100 + 111560501566101.

It is an arithmetic number, because the mean of its divisors is an integer number (111560501566101).

Almost surely, 2223121003132201 is an apocalyptic number.

It is an amenable number.

223121003132201 is a deficient number, since it is larger than the sum of its proper divisors (1).

223121003132201 is an equidigital number, since it uses as much as digits as its factorization.

223121003132201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 223121003132201 its reverse (102231300121322), we get a palindrome (325352303253523).

The spelling of 223121003132201 in words is "two hundred twenty-three trillion, one hundred twenty-one billion, three million, one hundred thirty-two thousand, two hundred one".