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2111004100 = 225221110041
BaseRepresentation
bin111110111010011…
…0101110111000100
312110010020010020001
41331310311313010
513310404112400
6545250051044
7103212144622
oct17564656704
95403203201
102111004100
11993674697
124aab79a84
1327847176a
14160512512
15c54dca6a
hex7dd35dc4

2111004100 has 18 divisors (see below), whose sum is σ = 4580879114. Its totient is φ = 844401600.

The previous prime is 2111004089. The next prime is 2111004143. The reversal of 2111004100 is 14001112.

It can be written as a sum of positive squares in 3 ways, for example, as 15745024 + 2095259076 = 3968^2 + 45774^2 .

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

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, 10554921 + ... + 10555120.

Almost surely, 22111004100 is an apocalyptic number.

2111004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111004100 is an abundant number, since it is smaller than the sum of its proper divisors (2469875014).

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

2111004100 is a wasteful number, since it uses less digits than its factorization.

2111004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21110055 (or 21110048 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2111004100 is about 45945.6646485825. The cubic root of 2111004100 is about 1282.8120346708.

Adding to 2111004100 its reverse (14001112), we get a palindrome (2125005212).

The spelling of 2111004100 in words is "two billion, one hundred eleven million, four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21110041 42220082 84440164 105550205 211100410 422200820 527751025 1055502050 2111004100