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41111131226149 is a prime number
BaseRepresentation
bin10010101100011111011100…
…10111111000000000100101
312101120012000102100122201101
421112033232113320000211
520342031044043214044
6223234105402400101
711442116104452445
oct1126175627700045
9171505012318641
1041111131226149
11121101508a3016
12473b742800031
1319c29bc524c8a
14a21b0a052125
154b45dca2dcd4
hex2563ee5f8025

41111131226149 has 2 divisors, whose sum is σ = 41111131226150. Its totient is φ = 41111131226148.

The previous prime is 41111131226107. The next prime is 41111131226171. The reversal of 41111131226149 is 94162213111114.

41111131226149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40687265123649 + 423866102500 = 6378657^2 + 651050^2 .

It is a cyclic number.

It is not a de Polignac number, because 41111131226149 - 237 = 40973692272677 is a prime.

It is a super-2 number, since 2×411111312261492 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41111131226189) 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, 20555565613074 + 20555565613075.

It is an arithmetic number, because the mean of its divisors is an integer number (20555565613075).

Almost surely, 241111131226149 is an apocalyptic number.

It is an amenable number.

41111131226149 is a deficient number, since it is larger than the sum of its proper divisors (1).

41111131226149 is an equidigital number, since it uses as much as digits as its factorization.

41111131226149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 37.

The spelling of 41111131226149 in words is "forty-one trillion, one hundred eleven billion, one hundred thirty-one million, two hundred twenty-six thousand, one hundred forty-nine".