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101001241340977 is a prime number
BaseRepresentation
bin10110111101110000101111…
…000111001010110000110001
3111020121121212011112121110111
4112331300233013022300301
5101214301020240402402
6554451155115301321
730163045626131215
oct2675605707126061
9436547764477414
10101001241340977
112a2004277049aa
12b3b287344a841
1344484b764bc73
141ad26b406a945
15ba2419eda9d7
hex5bdc2f1cac31

101001241340977 has 2 divisors, whose sum is σ = 101001241340978. Its totient is φ = 101001241340976.

The previous prime is 101001241340917. The next prime is 101001241341047. The reversal of 101001241340977 is 779043142100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97168354474801 + 3832886866176 = 9857401^2 + 1957776^2 .

It is an emirp because it is prime and its reverse (779043142100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001241340977 - 27 = 101001241340849 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001241340917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500620670488 + 50500620670489.

It is an arithmetic number, because the mean of its divisors is an integer number (50500620670489).

Almost surely, 2101001241340977 is an apocalyptic number.

It is an amenable number.

101001241340977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001241340977 is an equidigital number, since it uses as much as digits as its factorization.

101001241340977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 101001241340977 in words is "one hundred one trillion, one billion, two hundred forty-one million, three hundred forty thousand, nine hundred seventy-seven".