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100333231013 is a prime number
BaseRepresentation
bin101110101110001010…
…0111001101110100101
3100120222101200020021002
41131130110321232211
53120440301343023
6114031545203045
710151231251331
oct1353424715645
9316871606232
10100333231013
1139607547534
1217541490485
1395cc874062
144bdb4047c1
15292360eb28
hex175c539ba5

100333231013 has 2 divisors, whose sum is σ = 100333231014. Its totient is φ = 100333231012.

The previous prime is 100333231001. The next prime is 100333231051. The reversal of 100333231013 is 310132333001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67084626049 + 33248604964 = 259007^2 + 182342^2 .

It is an emirp because it is prime and its reverse (310132333001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100333231013 - 28 = 100333230757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100333230013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166615506 + 50166615507.

It is an arithmetic number, because the mean of its divisors is an integer number (50166615507).

Almost surely, 2100333231013 is an apocalyptic number.

It is an amenable number.

100333231013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333231013 is an equidigital number, since it uses as much as digits as its factorization.

100333231013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100333231013 its reverse (310132333001), we get a palindrome (410465564014).

The spelling of 100333231013 in words is "one hundred billion, three hundred thirty-three million, two hundred thirty-one thousand, thirteen".