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2301332123141 is a prime number
BaseRepresentation
bin100001011111010010000…
…101010110111000000101
322011000010210101202010022
4201133102011112320011
5300201112010420031
64521114542104525
7325160104201352
oct41372205267005
98130123352108
102301332123141
11807a97a959a7
1231201b57b145
1313902636740c
147d5568b5629
153ece25c497b
hex217d2156e05

2301332123141 has 2 divisors, whose sum is σ = 2301332123142. Its totient is φ = 2301332123140.

The previous prime is 2301332123117. The next prime is 2301332123159. The reversal of 2301332123141 is 1413212331032.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1948550769025 + 352781354116 = 1395905^2 + 593954^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2301332123141 is a prime.

It is a super-2 number, since 2×23013321231412 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2301332123141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2301332123191) 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, 1150666061570 + 1150666061571.

It is an arithmetic number, because the mean of its divisors is an integer number (1150666061571).

Almost surely, 22301332123141 is an apocalyptic number.

It is an amenable number.

2301332123141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301332123141 is an equidigital number, since it uses as much as digits as its factorization.

2301332123141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 2301332123141 its reverse (1413212331032), we get a palindrome (3714544454173).

The spelling of 2301332123141 in words is "two trillion, three hundred one billion, three hundred thirty-two million, one hundred twenty-three thousand, one hundred forty-one".