Search a number
-
+
3123001233133 is a prime number
BaseRepresentation
bin101101011100100001011…
…000010000111011101101
3102001120000022210022211021
4231130201120100323231
5402131401303430013
610350404214454141
7441425611326235
oct55344130207355
912046008708737
103123001233133
11aa4503863761
12425312964351
13198661740b62
14ab222a86cc5
1556382e33a8d
hex2d721610eed

3123001233133 has 2 divisors, whose sum is σ = 3123001233134. Its totient is φ = 3123001233132.

The previous prime is 3123001233119. The next prime is 3123001233151. The reversal of 3123001233133 is 3313321003213.

3123001233133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2658862882404 + 464138350729 = 1630602^2 + 681277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3123001233133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3123001233098 and 3123001233107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3123001230133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561500616566 + 1561500616567.

It is an arithmetic number, because the mean of its divisors is an integer number (1561500616567).

Almost surely, 23123001233133 is an apocalyptic number.

It is an amenable number.

3123001233133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123001233133 is an equidigital number, since it uses as much as digits as its factorization.

3123001233133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 3123001233133 its reverse (3313321003213), we get a palindrome (6436322236346).

The spelling of 3123001233133 in words is "three trillion, one hundred twenty-three billion, one million, two hundred thirty-three thousand, one hundred thirty-three".