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112000111097 = 722285716553
BaseRepresentation
bin110100001001110111…
…0100001000111111001
3101201002110222010222212
41220103232201013321
53313334012023342
6123241355024505
711043316144100
oct1502356410771
9351073863885
10112000111097
1143554163196
121985873b135
13a73b9b29b4
1455c6aab037
152da79cd182
hex1a13ba11f9

112000111097 has 6 divisors (see below), whose sum is σ = 130285843578. Its totient is φ = 96000095184.

The previous prime is 112000111061. The next prime is 112000111133. The reversal of 112000111097 is 790111000211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112000111061) and next prime (112000111133).

It can be written as a sum of positive squares in only one way, i.e., 69539799616 + 42460311481 = 263704^2 + 206059^2 .

It is not a de Polignac number, because 112000111097 - 216 = 112000045561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112000111007) 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 in 5 ways as a sum of consecutive naturals, for example, 1142858228 + ... + 1142858325.

It is an arithmetic number, because the mean of its divisors is an integer number (21714307263).

Almost surely, 2112000111097 is an apocalyptic number.

It is an amenable number.

112000111097 is a deficient number, since it is larger than the sum of its proper divisors (18285732481).

112000111097 is an equidigital number, since it uses as much as digits as its factorization.

112000111097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285716567 (or 2285716560 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 23.

The spelling of 112000111097 in words is "one hundred twelve billion, one hundred eleven thousand, ninety-seven".

Divisors: 1 7 49 2285716553 16000015871 112000111097