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111111420100 = 22521111114201
BaseRepresentation
bin110011101111011000…
…0011011100011000100
3101121210112201222010111
41213132300123203010
53310024010420400
6123013251202404
711012305326202
oct1473660334304
9347715658114
10111111420100
114313855551a
121964aba6404
13a629848935
145540a56072
152d549873ba
hex19dec1b8c4

111111420100 has 18 divisors (see below), whose sum is σ = 241111781834. Its totient is φ = 44444568000.

The previous prime is 111111420089. The next prime is 111111420103. The reversal of 111111420100 is 1024111111.

It can be written as a sum of positive squares in 3 ways, for example, as 33861888256 + 77249531844 = 184016^2 + 277938^2 .

It is not an unprimeable number, because it can be changed into a prime (111111420103) 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, 555557001 + ... + 555557200.

Almost surely, 2111111420100 is an apocalyptic number.

111111420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111420100 is an abundant number, since it is smaller than the sum of its proper divisors (130000361734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111111420100 is a wasteful number, since it uses less digits than its factorization.

111111420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111114215 (or 1111114208 counting only the distinct ones).

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

Adding to 111111420100 its reverse (1024111111), we get a palindrome (112135531211).

The spelling of 111111420100 in words is "one hundred eleven billion, one hundred eleven million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1111114201 2222228402 4444456804 5555571005 11111142010 22222284020 27777855025 55555710050 111111420100