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106501151101 is a prime number
BaseRepresentation
bin110001100101111110…
…1101001100101111101
3101011220020201000222211
41203023331221211331
53221103243313401
6120532001140421
710460124563542
oct1431375514575
9334806630884
10106501151101
114119213a154
121878302a711
13a073674507
145224644bc9
152b84d66951
hex18cbf6997d

106501151101 has 2 divisors, whose sum is σ = 106501151102. Its totient is φ = 106501151100.

The previous prime is 106501151077. The next prime is 106501151131. The reversal of 106501151101 is 101151105601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85620612100 + 20880539001 = 292610^2 + 144501^2 .

It is a cyclic number.

It is not a de Polignac number, because 106501151101 - 217 = 106501020029 is a prime.

It is a super-2 number, since 2×1065011511012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106501151131) 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, 53250575550 + 53250575551.

It is an arithmetic number, because the mean of its divisors is an integer number (53250575551).

Almost surely, 2106501151101 is an apocalyptic number.

It is an amenable number.

106501151101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106501151101 is an equidigital number, since it uses as much as digits as its factorization.

106501151101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 22.

Adding to 106501151101 its reverse (101151105601), we get a palindrome (207652256702).

The spelling of 106501151101 in words is "one hundred six billion, five hundred one million, one hundred fifty-one thousand, one hundred one".