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111120012100 = 22521765364713
BaseRepresentation
bin110011101111101000…
…1001101001101000100
3101121211010220111010201
41213133101031031010
53310033210341400
6123014155300244
711012441342566
oct1473721151504
9347733814121
10111120012100
1143142393849
1219651a4a684
13a62b566666
145541c51336
152d555d306a
hex19df44d344

111120012100 has 36 divisors (see below), whose sum is σ = 255314572884. Its totient is φ = 41833415680.

The previous prime is 111120012097. The next prime is 111120012109. The reversal of 111120012100 is 1210021111.

It can be written as a sum of positive squares in 6 ways, for example, as 3751072516 + 107368939584 = 61246^2 + 327672^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111120012109) 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 11 ways as a sum of consecutive naturals, for example, 32680657 + ... + 32684056.

It is an arithmetic number, because the mean of its divisors is an integer number (7092071469).

Almost surely, 2111120012100 is an apocalyptic number.

111120012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111120012100 is an abundant number, since it is smaller than the sum of its proper divisors (144194560784).

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

111120012100 is a wasteful number, since it uses less digits than its factorization.

111120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65364744 (or 65364737 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111120012100 its reverse (1210021111), we get a palindrome (112330033211).

The spelling of 111120012100 in words is "one hundred eleven billion, one hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 65364713 130729426 261458852 326823565 653647130 1111200121 1307294260 1634117825 2222400242 3268235650 4444800484 5556000605 6536471300 11112001210 22224002420 27780003025 55560006050 111120012100