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2331114131441 = 17833115312221
BaseRepresentation
bin100001111011000001001…
…110101100111111110001
322020212000100111112002202
4201323001032230333301
5301143110204201231
64542522105552545
7330263116120034
oct41730116547761
98225010445082
102331114131441
118196901785a7
123179514a5755
1313ba91515c34
1480b7ddb701b
1540986edd5cb
hex21ec13acff1

2331114131441 has 16 divisors (see below), whose sum is σ = 2506008855168. Its totient is φ = 2160586118400.

The previous prime is 2331114131371. The next prime is 2331114131491. The reversal of 2331114131441 is 1441314111332.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2331114131441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2331114131491) 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 in 15 ways as a sum of consecutive naturals, for example, 2217290 + ... + 3094931.

It is an arithmetic number, because the mean of its divisors is an integer number (156625553448).

Almost surely, 22331114131441 is an apocalyptic number.

It is an amenable number.

2331114131441 is a deficient number, since it is larger than the sum of its proper divisors (174894723727).

2331114131441 is a wasteful number, since it uses less digits than its factorization.

2331114131441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312632.

The product of its digits is 3456, while the sum is 29.

Adding to 2331114131441 its reverse (1441314111332), we get a palindrome (3772428242773).

The spelling of 2331114131441 in words is "two trillion, three hundred thirty-one billion, one hundred fourteen million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 17 83 311 1411 5287 25813 438821 5312221 90307757 440914343 1652100731 7495543831 28085712427 137124360673 2331114131441