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223033103010101 is a prime number
BaseRepresentation
bin110010101101100011110000…
…111000001100100100110101
31002020200202102102111222200102
4302231203300320030210311
5213213133243332310401
62110203554255323445
764656416131465166
oct6255436070144465
91066622372458612
10223033103010101
116507989820854a
1221021386b20585
13975ac152a7a47
143d10c0736176d
151abb9098d356b
hexcad8f0e0c935

223033103010101 has 2 divisors, whose sum is σ = 223033103010102. Its totient is φ = 223033103010100.

The previous prime is 223033103010097. The next prime is 223033103010119. The reversal of 223033103010101 is 101010301330322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123471521427076 + 99561581583025 = 11111774^2 + 9978055^2 .

It is a cyclic number.

It is not a de Polignac number, because 223033103010101 - 22 = 223033103010097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223033103010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111516551505050 + 111516551505051.

It is an arithmetic number, because the mean of its divisors is an integer number (111516551505051).

Almost surely, 2223033103010101 is an apocalyptic number.

It is an amenable number.

223033103010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

223033103010101 is an equidigital number, since it uses as much as digits as its factorization.

223033103010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 223033103010101 its reverse (101010301330322), we get a palindrome (324043404340423).

The spelling of 223033103010101 in words is "two hundred twenty-three trillion, thirty-three billion, one hundred three million, ten thousand, one hundred one".