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112113100289 is a prime number
BaseRepresentation
bin110100001101001110…
…1100010011000000001
3101201101100120121000202
41220122131202120001
53314101423202124
6123300512454545
711046160425461
oct1503235423001
9351340517022
10112113100289
1143601a16693
121988a54a455
13a7592237c8
1455d7abdba1
152db289b5ae
hex1a1a762601

112113100289 has 2 divisors, whose sum is σ = 112113100290. Its totient is φ = 112113100288.

The previous prime is 112113100279. The next prime is 112113100343. The reversal of 112113100289 is 982001311211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76337269264 + 35775831025 = 276292^2 + 189145^2 .

It is a cyclic number.

It is not a de Polignac number, because 112113100289 - 24 = 112113100273 is a prime.

It is a super-2 number, since 2×1121131002892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112113100279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056550144 + 56056550145.

It is an arithmetic number, because the mean of its divisors is an integer number (56056550145).

Almost surely, 2112113100289 is an apocalyptic number.

It is an amenable number.

112113100289 is a deficient number, since it is larger than the sum of its proper divisors (1).

112113100289 is an equidigital number, since it uses as much as digits as its factorization.

112113100289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 112113100289 in words is "one hundred twelve billion, one hundred thirteen million, one hundred thousand, two hundred eighty-nine".