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993821130817 is a prime number
BaseRepresentation
bin11100111011001000101…
…10110000000001000001
310112000020002210100102021
432131210112300001001
5112240321202141232
62040315523521441
7131541546142114
oct16354426600101
93460202710367
10993821130817
11353528135039
12140738829281
1372942133828
143615b99657b
151acb909a397
hexe7645b0041

993821130817 has 2 divisors, whose sum is σ = 993821130818. Its totient is φ = 993821130816.

The previous prime is 993821130779. The next prime is 993821130839. The reversal of 993821130817 is 718031128399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 951329080321 + 42492050496 = 975361^2 + 206136^2 .

It is a cyclic number.

It is not a de Polignac number, because 993821130817 - 219 = 993820606529 is a prime.

It is not a weakly prime, because it can be changed into another prime (993821130317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496910565408 + 496910565409.

It is an arithmetic number, because the mean of its divisors is an integer number (496910565409).

Almost surely, 2993821130817 is an apocalyptic number.

It is an amenable number.

993821130817 is a deficient number, since it is larger than the sum of its proper divisors (1).

993821130817 is an equidigital number, since it uses as much as digits as its factorization.

993821130817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 993821130817 in words is "nine hundred ninety-three billion, eight hundred twenty-one million, one hundred thirty thousand, eight hundred seventeen".