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2231301023101 is a prime number
BaseRepresentation
bin100000011110000011111…
…001111010010101111101
321220022101012112021000101
4200132003321322111331
5243024201030214401
64425013500401101
7320130501522133
oct40360371722575
97808335467011
102231301023101
11790320291a17
12300536246191
13132545651197
1479dd1ac5753
153d0943be101
hex20783e7a57d

2231301023101 has 2 divisors, whose sum is σ = 2231301023102. Its totient is φ = 2231301023100.

The previous prime is 2231301023099. The next prime is 2231301023123. The reversal of 2231301023101 is 1013201031322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1157186427076 + 1074114596025 = 1075726^2 + 1036395^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231301023101 - 21 = 2231301023099 is a prime.

It is a super-3 number, since 3×22313010231013 (a number of 38 digits) contains 333 as substring.

Together with 2231301023099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2231301083101) 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, 1115650511550 + 1115650511551.

It is an arithmetic number, because the mean of its divisors is an integer number (1115650511551).

Almost surely, 22231301023101 is an apocalyptic number.

It is an amenable number.

2231301023101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231301023101 is an equidigital number, since it uses as much as digits as its factorization.

2231301023101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2231301023101 its reverse (1013201031322), we get a palindrome (3244502054423).

The spelling of 2231301023101 in words is "two trillion, two hundred thirty-one billion, three hundred one million, twenty-three thousand, one hundred one".