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223210122001 is a prime number
BaseRepresentation
bin1100111111100001011…
…1000010101100010001
3210100010220020001021121
43033320113002230101
512124113242401001
6250312531322241
722061232506116
oct3177027025421
9710126201247
10223210122001
1186732327409
1237314750381
1318082a9a889
14ab3686890d
155c15e3c6a1
hex33f85c2b11

223210122001 has 2 divisors, whose sum is σ = 223210122002. Its totient is φ = 223210122000.

The previous prime is 223210121993. The next prime is 223210122133. The reversal of 223210122001 is 100221012322.

It is a happy number.

223210122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176715981376 + 46494140625 = 420376^2 + 215625^2 .

It is a cyclic number.

It is not a de Polignac number, because 223210122001 - 23 = 223210121993 is a prime.

It is a super-3 number, since 3×2232101220013 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223210182001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111605061000 + 111605061001.

It is an arithmetic number, because the mean of its divisors is an integer number (111605061001).

Almost surely, 2223210122001 is an apocalyptic number.

It is an amenable number.

223210122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

223210122001 is an equidigital number, since it uses as much as digits as its factorization.

223210122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 223210122001 its reverse (100221012322), we get a palindrome (323431134323).

The spelling of 223210122001 in words is "two hundred twenty-three billion, two hundred ten million, one hundred twenty-two thousand, one".