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2331001011329 is a prime number
BaseRepresentation
bin100001111010111010011…
…111001011110010000001
322020211201110122102110222
4201322322133023302001
5301142342224330304
64542502545232425
7330260243451554
oct41727237136201
98224643572428
102331001011329
11819632335801
1231791b632715
1313ba73c5a663
1480b6cd6c69b
154097c0e64be
hex21eba7cbc81

2331001011329 has 2 divisors, whose sum is σ = 2331001011330. Its totient is φ = 2331001011328.

The previous prime is 2331001011277. The next prime is 2331001011331. The reversal of 2331001011329 is 9231101001332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1237596175729 + 1093404835600 = 1112473^2 + 1045660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2331001011329 is a prime.

Together with 2331001011331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2331001011298 and 2331001011307.

It is not a weakly prime, because it can be changed into another prime (2331001011359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1165500505664 + 1165500505665.

It is an arithmetic number, because the mean of its divisors is an integer number (1165500505665).

Almost surely, 22331001011329 is an apocalyptic number.

It is an amenable number.

2331001011329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331001011329 is an equidigital number, since it uses as much as digits as its factorization.

2331001011329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 2331001011329 in words is "two trillion, three hundred thirty-one billion, one million, eleven thousand, three hundred twenty-nine".