Search a number
-
+
100652040101 is a prime number
BaseRepresentation
bin101110110111101010…
…1000011111110100101
3100121210121120102010002
41131233111003332211
53122113410240401
6114123334311045
710162152140024
oct1355725037645
9317717512102
10100652040101
11397604a8518
12176101b8485
1396509291a2
144c2b8b28bb
1529415d6a6b
hex176f543fa5

100652040101 has 2 divisors, whose sum is σ = 100652040102. Its totient is φ = 100652040100.

The previous prime is 100652040043. The next prime is 100652040121. The reversal of 100652040101 is 101040256001.

It is an a-pointer prime, because the next prime (100652040121) can be obtained adding 100652040101 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80239060225 + 20412979876 = 283265^2 + 142874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100652040101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100652040121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50326020050 + 50326020051.

It is an arithmetic number, because the mean of its divisors is an integer number (50326020051).

Almost surely, 2100652040101 is an apocalyptic number.

It is an amenable number.

100652040101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100652040101 is an equidigital number, since it uses as much as digits as its factorization.

100652040101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 100652040101 its reverse (101040256001), we get a palindrome (201692296102).

The spelling of 100652040101 in words is "one hundred billion, six hundred fifty-two million, forty thousand, one hundred one".