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1011200110100 = 225210112001101
BaseRepresentation
bin11101011011100000011…
…10010010111000010100
310120200002021101222011122
432231300032102320110
5113031414212010400
62052312223423112
7133025324055155
oct16556016227024
93520067358148
101011200110100
1135a936111434
12143b88a54a98
13744817b861b
1436d29b2792c
151b484b82685
hexeb70392e14

1011200110100 has 18 divisors (see below), whose sum is σ = 2194304239134. Its totient is φ = 404480044000.

The previous prime is 1011200110097. The next prime is 1011200110111. The reversal of 1011200110100 is 10110021101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19753740304 + 991446369796 = 140548^2 + 995714^2 .

It is a congruent number.

It is an unprimeable number.

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, 5056000451 + ... + 5056000650.

It is an arithmetic number, because the mean of its divisors is an integer number (121905791063).

Almost surely, 21011200110100 is an apocalyptic number.

1011200110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011200110100 is an abundant number, since it is smaller than the sum of its proper divisors (1183104129034).

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

1011200110100 is a wasteful number, since it uses less digits than its factorization.

1011200110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112001115 (or 10112001108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011200110100 its reverse (10110021101), we get a palindrome (1021310131201).

It can be divided in two parts, 10112001 and 10100, that added together give a palindrome (10122101).

The spelling of 1011200110100 in words is "one trillion, eleven billion, two hundred million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10112001101 20224002202 40448004404 50560005505 101120011010 202240022020 252800027525 505600055050 1011200110100