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112111022101 = 132976838957
BaseRepresentation
bin110100001101001010…
…1100111000000010101
3101201101012200000021211
41220122111213000111
53314100410201401
6123300400141421
711046133651561
oct1503225470025
9351335600254
10112111022101
1143600827281
1219889907871
13a758976900
1455d76dc6a1
152db25da951
hex1a1a567015

112111022101 has 12 divisors (see below), whose sum is σ = 122649872772. Its totient is φ = 102420205056.

The previous prime is 112111022087. The next prime is 112111022117. The reversal of 112111022101 is 101220111211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 36720140625 + 75390881476 = 191625^2 + 274574^2 .

It is not a de Polignac number, because 112111022101 - 25 = 112111022069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111022161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3403086 + ... + 3435871.

It is an arithmetic number, because the mean of its divisors is an integer number (10220822731).

Almost surely, 2112111022101 is an apocalyptic number.

It is an amenable number.

112111022101 is a deficient number, since it is larger than the sum of its proper divisors (10538850671).

112111022101 is an equidigital number, since it uses as much as digits as its factorization.

112111022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839080 (or 6839067 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112111022101 its reverse (101220111211), we get a palindrome (213331133312).

The spelling of 112111022101 in words is "one hundred twelve billion, one hundred eleven million, twenty-two thousand, one hundred one".

Divisors: 1 13 97 169 1261 16393 6838957 88906441 663378829 1155783733 8623924777 112111022101