Search a number
-
+
100215342051137 is a prime number
BaseRepresentation
bin10110110010010100110011…
…110111010010111101000001
3111010211111022111101011102022
4112302110303313102331001
5101113412010031114022
6553050143110131225
730052214412315305
oct2662246367227501
9433744274334368
10100215342051137
1129a280a6a85485
12b2a64a3350b15
1343bc35cb13291
141aa663c715d05
15b8bc6eac1c42
hex5b2533dd2f41

100215342051137 has 2 divisors, whose sum is σ = 100215342051138. Its totient is φ = 100215342051136.

The previous prime is 100215342051079. The next prime is 100215342051191. The reversal of 100215342051137 is 731150243512001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99156107936656 + 1059234114481 = 9957716^2 + 1029191^2 .

It is a cyclic number.

It is not a de Polignac number, because 100215342051137 - 216 = 100215341985601 is a prime.

It is a super-2 number, since 2×1002153420511372 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100215342051097 and 100215342051106.

It is not a weakly prime, because it can be changed into another prime (100215342051197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50107671025568 + 50107671025569.

It is an arithmetic number, because the mean of its divisors is an integer number (50107671025569).

Almost surely, 2100215342051137 is an apocalyptic number.

It is an amenable number.

100215342051137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100215342051137 is an equidigital number, since it uses as much as digits as its factorization.

100215342051137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

Adding to 100215342051137 its reverse (731150243512001), we get a palindrome (831365585563138).

The spelling of 100215342051137 in words is "one hundred trillion, two hundred fifteen billion, three hundred forty-two million, fifty-one thousand, one hundred thirty-seven".