Search a number
-
+
101241134240201 is a prime number
BaseRepresentation
bin10111000001010000001001…
…110101111101000111001001
3111021110120001201100112210222
4113001100021311331013021
5101232213320331141301
6555153311320515425
730216300454130654
oct2701201165750711
9437416051315728
10101241134240201
112a29313aa227aa
12b43126301bb75
134464cc8791b47
141b001503da89b
15ba87aa83d31b
hex5c1409d7d1c9

101241134240201 has 2 divisors, whose sum is σ = 101241134240202. Its totient is φ = 101241134240200.

The previous prime is 101241134240173. The next prime is 101241134240219. The reversal of 101241134240201 is 102042431142101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81924221440000 + 19316912800201 = 9051200^2 + 4395101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101241134240201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101241134210201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50620567120100 + 50620567120101.

It is an arithmetic number, because the mean of its divisors is an integer number (50620567120101).

Almost surely, 2101241134240201 is an apocalyptic number.

It is an amenable number.

101241134240201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101241134240201 is an equidigital number, since it uses as much as digits as its factorization.

101241134240201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 101241134240201 its reverse (102042431142101), we get a palindrome (203283565382302).

The spelling of 101241134240201 in words is "one hundred one trillion, two hundred forty-one billion, one hundred thirty-four million, two hundred forty thousand, two hundred one".