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106044000113 is a prime number
BaseRepresentation
bin110001011000010110…
…1110000011101110001
3101010201101111100201202
41202300231300131301
53214134231000423
6120414350540545
710442604062042
oct1426055603561
9333641440652
10106044000113
1140a78089917
1218675b07755
139ccca4297c
1451bda448c9
152b59b64728
hex18b0b70771

106044000113 has 2 divisors, whose sum is σ = 106044000114. Its totient is φ = 106044000112.

The previous prime is 106043999977. The next prime is 106044000119. The reversal of 106044000113 is 311000440601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93650076529 + 12393923584 = 306023^2 + 111328^2 .

It is a cyclic number.

It is not a de Polignac number, because 106044000113 - 226 = 105976891249 is a prime.

It is a super-2 number, since 2×1060440001132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106044000119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53022000056 + 53022000057.

It is an arithmetic number, because the mean of its divisors is an integer number (53022000057).

Almost surely, 2106044000113 is an apocalyptic number.

It is an amenable number.

106044000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

106044000113 is an equidigital number, since it uses as much as digits as its factorization.

106044000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 106044000113 its reverse (311000440601), we get a palindrome (417044440714).

The spelling of 106044000113 in words is "one hundred six billion, forty-four million, one hundred thirteen", and thus it is an aban number.