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223123220130101 is a prime number
BaseRepresentation
bin110010101110110111101100…
…010001101110100100110101
31002021000101000211210000020112
4302232313230101232210311
5213221122323323130401
62110313220422112405
764666056252406364
oct6256675421564465
91067011024700215
10223123220130101
1165104031a53625
1221036936b7b705
1397665774560a5
143d15315a297db
151abde311973bb
hexcaedec46e935

223123220130101 has 2 divisors, whose sum is σ = 223123220130102. Its totient is φ = 223123220130100.

The previous prime is 223123220130077. The next prime is 223123220130137. The reversal of 223123220130101 is 101031022321322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167861822822500 + 55261397307601 = 12956150^2 + 7433801^2 .

It is a cyclic number.

It is not a de Polignac number, because 223123220130101 - 222 = 223123215935797 is a prime.

It is a super-3 number, since 3×2231232201301013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223123220133101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561610065050 + 111561610065051.

It is an arithmetic number, because the mean of its divisors is an integer number (111561610065051).

Almost surely, 2223123220130101 is an apocalyptic number.

It is an amenable number.

223123220130101 is a deficient number, since it is larger than the sum of its proper divisors (1).

223123220130101 is an equidigital number, since it uses as much as digits as its factorization.

223123220130101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 223123220130101 its reverse (101031022321322), we get a palindrome (324154242451423).

The spelling of 223123220130101 in words is "two hundred twenty-three trillion, one hundred twenty-three billion, two hundred twenty million, one hundred thirty thousand, one hundred one".