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223121030202001 is a prime number
BaseRepresentation
bin110010101110110101101001…
…101111110100001010010001
31002021000011101020001010122101
4302232311221233310022101
5213221103332212431001
62110312215232240401
764665651061336351
oct6256655157641221
91067004336033571
10223121030202001
1165103108883198
12210364256a0101
1397662b883cc49
143d15188c50b61
151abdd53cb9a01
hexcaed69bf4291

223121030202001 has 2 divisors, whose sum is σ = 223121030202002. Its totient is φ = 223121030202000.

The previous prime is 223121030201999. The next prime is 223121030202017. The reversal of 223121030202001 is 100202030121322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222672022995601 + 449007206400 = 14922199^2 + 670080^2 .

It is a cyclic number.

It is not a de Polignac number, because 223121030202001 - 21 = 223121030201999 is a prime.

It is a super-3 number, since 3×2231210302020013 (a number of 44 digits) contains 333 as substring.

Together with 223121030201999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 223121030202001.

It is not a weakly prime, because it can be changed into another prime (223121030202061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111560515101000 + 111560515101001.

It is an arithmetic number, because the mean of its divisors is an integer number (111560515101001).

Almost surely, 2223121030202001 is an apocalyptic number.

It is an amenable number.

223121030202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

223121030202001 is an equidigital number, since it uses as much as digits as its factorization.

223121030202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 223121030202001 its reverse (100202030121322), we get a palindrome (323323060323323).

The spelling of 223121030202001 in words is "two hundred twenty-three trillion, one hundred twenty-one billion, thirty million, two hundred two thousand, one".