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1110101100100 = 225211101011001
BaseRepresentation
bin10000001001110111001…
…011101000011001000100
310221010100212001211010021
4100021313023220121010
5121141441340200400
62205550131104524
7143126224442656
oct20116713503104
93833325054107
101110101100100
11398878149003
1215b18a742144
13808b3702b95
143ba2cc266d6
151dd2267e71a
hex102772e8644

1110101100100 has 18 divisors (see below), whose sum is σ = 2408919387434. Its totient is φ = 444040440000.

The previous prime is 1110101100089. The next prime is 1110101100103. The reversal of 1110101100100 is 10011010111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4272191044 + 1105828909056 = 65362^2 + 1051584^2 .

It is not an unprimeable number, because it can be changed into a prime (1110101100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5550505401 + ... + 5550505600.

Almost surely, 21110101100100 is an apocalyptic number.

1110101100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110101100100 is an abundant number, since it is smaller than the sum of its proper divisors (1298818287334).

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

1110101100100 is a wasteful number, since it uses less digits than its factorization.

1110101100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101011015 (or 11101011008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1110101100100 its reverse (10011010111), we get a palindrome (1120112110211).

The spelling of 1110101100100 in words is "one trillion, one hundred ten billion, one hundred one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11101011001 22202022002 44404044004 55505055005 111010110010 222020220020 277525275025 555050550050 1110101100100