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107579233249 is a prime number
BaseRepresentation
bin110010000110000111…
…0001101001111100001
3101021200101022021200021
41210030032031033201
53230310240430444
6121230552153441
710525625252305
oct1441416151741
9337611267607
10107579233249
1141695744234
1218a24098881
13a1b5b1cb47
1452c78b9d05
152be981d584
hex190c38d3e1

107579233249 has 2 divisors, whose sum is σ = 107579233250. Its totient is φ = 107579233248.

The previous prime is 107579233127. The next prime is 107579233253. The reversal of 107579233249 is 942332975701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80012608225 + 27566625024 = 282865^2 + 166032^2 .

It is a cyclic number.

It is not a de Polignac number, because 107579233249 - 27 = 107579233121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107579233196 and 107579233205.

It is not a weakly prime, because it can be changed into another prime (107579233549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53789616624 + 53789616625.

It is an arithmetic number, because the mean of its divisors is an integer number (53789616625).

Almost surely, 2107579233249 is an apocalyptic number.

It is an amenable number.

107579233249 is a deficient number, since it is larger than the sum of its proper divisors (1).

107579233249 is an equidigital number, since it uses as much as digits as its factorization.

107579233249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 107579233249 in words is "one hundred seven billion, five hundred seventy-nine million, two hundred thirty-three thousand, two hundred forty-nine".