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112310101117 is a prime number
BaseRepresentation
bin110100010011000110…
…1000010010001111101
3101201220002021021100201
41220212031002101331
53320002341213432
6123332231123501
711054102052064
oct1504615022175
9351802237321
10112310101117
11436a3140295
1219924513591
13a78ac9a946
145615d211db
152dc4d11ee7
hex1a2634247d

112310101117 has 2 divisors, whose sum is σ = 112310101118. Its totient is φ = 112310101116.

The previous prime is 112310101109. The next prime is 112310101147. The reversal of 112310101117 is 711101013211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106602903001 + 5707198116 = 326501^2 + 75546^2 .

It is a cyclic number.

It is not a de Polignac number, because 112310101117 - 23 = 112310101109 is a prime.

It is a super-2 number, since 2×1123101011172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112310101094 and 112310101103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112310101147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56155050558 + 56155050559.

It is an arithmetic number, because the mean of its divisors is an integer number (56155050559).

Almost surely, 2112310101117 is an apocalyptic number.

It is an amenable number.

112310101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

112310101117 is an equidigital number, since it uses as much as digits as its factorization.

112310101117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 112310101117 its reverse (711101013211), we get a palindrome (823411114328).

The spelling of 112310101117 in words is "one hundred twelve billion, three hundred ten million, one hundred one thousand, one hundred seventeen".