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112103101013 is a prime number
BaseRepresentation
bin110100001100111011…
…1011001001001010101
3101201100122202120121012
41220121313121021111
53314041343213023
6123255514302005
711046006431201
oct1503167311125
9351318676535
10112103101013
11435a7307022
1219887127905
13a757132387
1455d6639b01
152db1a73978
hex1a19dd9255

112103101013 has 2 divisors, whose sum is σ = 112103101014. Its totient is φ = 112103101012.

The previous prime is 112103100983. The next prime is 112103101027. The reversal of 112103101013 is 310101301211.

It is a happy number.

It is an a-pointer prime, because the next prime (112103101027) can be obtained adding 112103101013 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112036139524 + 66961489 = 334718^2 + 8183^2 .

It is a cyclic number.

It is not a de Polignac number, because 112103101013 - 228 = 111834665557 is a prime.

It is a super-3 number, since 3×1121031010133 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112103101063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56051550506 + 56051550507.

It is an arithmetic number, because the mean of its divisors is an integer number (56051550507).

Almost surely, 2112103101013 is an apocalyptic number.

It is an amenable number.

112103101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

112103101013 is an equidigital number, since it uses as much as digits as its factorization.

112103101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 112103101013 its reverse (310101301211), we get a palindrome (422204402224).

The spelling of 112103101013 in words is "one hundred twelve billion, one hundred three million, one hundred one thousand, thirteen".