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2301332123117 is a prime number
BaseRepresentation
bin100001011111010010000…
…101010110110111101101
322011000010210101202002102
4201133102011112313231
5300201112010414432
64521114542104445
7325160104201316
oct41372205266755
98130123352072
102301332123117
11807a97a95985
1231201b57b125
131390263673c1
147d5568b560d
153ece25c4962
hex217d2156ded

2301332123117 has 2 divisors, whose sum is σ = 2301332123118. Its totient is φ = 2301332123116.

The previous prime is 2301332123087. The next prime is 2301332123141. The reversal of 2301332123117 is 7113212331032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1810924638436 + 490407484681 = 1345706^2 + 700291^2 .

It is a cyclic number.

It is not a de Polignac number, because 2301332123117 - 210 = 2301332122093 is a prime.

It is a super-2 number, since 2×23013321231172 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2301332123117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2301332123417) 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, 1150666061558 + 1150666061559.

It is an arithmetic number, because the mean of its divisors is an integer number (1150666061559).

Almost surely, 22301332123117 is an apocalyptic number.

It is an amenable number.

2301332123117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301332123117 is an equidigital number, since it uses as much as digits as its factorization.

2301332123117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 2301332123117 its reverse (7113212331032), we get a palindrome (9414544454149).

The spelling of 2301332123117 in words is "two trillion, three hundred one billion, three hundred thirty-two million, one hundred twenty-three thousand, one hundred seventeen".