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106736271149 is a prime number
BaseRepresentation
bin110001101100111111…
…0100011111100101101
3101012111122010101001202
41203121332203330231
53222043441134044
6121011200415245
710466011222664
oct1433176437455
9335448111052
10106736271149
11412a292a342
1218829917525
13a0b02a70c1
145247969ddb
152b9a80bc4e
hex18d9fa3f2d

106736271149 has 2 divisors, whose sum is σ = 106736271150. Its totient is φ = 106736271148.

The previous prime is 106736271133. The next prime is 106736271199. The reversal of 106736271149 is 941172637601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104814062500 + 1922208649 = 323750^2 + 43843^2 .

It is a cyclic number.

It is not a de Polignac number, because 106736271149 - 24 = 106736271133 is a prime.

It is a super-2 number, since 2×1067362711492 (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 (106736271199) 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, 53368135574 + 53368135575.

It is an arithmetic number, because the mean of its divisors is an integer number (53368135575).

Almost surely, 2106736271149 is an apocalyptic number.

It is an amenable number.

106736271149 is a deficient number, since it is larger than the sum of its proper divisors (1).

106736271149 is an equidigital number, since it uses as much as digits as its factorization.

106736271149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 106736271149 in words is "one hundred six billion, seven hundred thirty-six million, two hundred seventy-one thousand, one hundred forty-nine".