Search a number
-
+
23535333133997 is a prime number
BaseRepresentation
bin1010101100111101111110…
…01010111100111010101101
310002022221210211110200012212
411112132333022330322231
511041100330240241442
6122015552140340205
74646241331601666
oct526367712747255
9102287724420185
1023535333133997
117554307a977a3
12278137b544665
1310194ac1b4789
145b518ac0036d
152ac31c144a82
hex1567bf2bcead

23535333133997 has 2 divisors, whose sum is σ = 23535333133998. Its totient is φ = 23535333133996.

The previous prime is 23535333133979. The next prime is 23535333134077. The reversal of 23535333133997 is 79933133353532.

It is a happy number.

Together with previous prime (23535333133979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14724326398441 + 8811006735556 = 3837229^2 + 2968334^2 .

It is a cyclic number.

It is not a de Polignac number, because 23535333133997 - 214 = 23535333117613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23535333133097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11767666566998 + 11767666566999.

It is an arithmetic number, because the mean of its divisors is an integer number (11767666566999).

Almost surely, 223535333133997 is an apocalyptic number.

It is an amenable number.

23535333133997 is a deficient number, since it is larger than the sum of its proper divisors (1).

23535333133997 is an equidigital number, since it uses as much as digits as its factorization.

23535333133997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62001450, while the sum is 59.

The spelling of 23535333133997 in words is "twenty-three trillion, five hundred thirty-five billion, three hundred thirty-three million, one hundred thirty-three thousand, nine hundred ninety-seven".