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2114440100 = 225245194679
BaseRepresentation
bin111111000000111…
…1100101110100100
312110100200200112022
41332001330232210
513312244040400
6545451442312
7103253305253
oct17601745644
95410620468
102114440100
11995601163
124b0156398
132790a56b6
14160b6879a
15c596ab85
hex7e07cba4

2114440100 has 36 divisors (see below), whose sum is σ = 4590331200. Its totient is φ = 845408160.

The previous prime is 2114440051. The next prime is 2114440121. The reversal of 2114440100 is 10444112.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 449561 + ... + 454239.

It is an arithmetic number, because the mean of its divisors is an integer number (127509200).

Almost surely, 22114440100 is an apocalyptic number.

2114440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114440100 is an abundant number, since it is smaller than the sum of its proper divisors (2475891100).

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

2114440100 is a wasteful number, since it uses less digits than its factorization.

2114440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9205 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2114440100 is about 45983.0414392089. The cubic root of 2114440100 is about 1283.5076519640.

Adding to 2114440100 its reverse (10444112), we get a palindrome (2124884212).

The spelling of 2114440100 in words is "two billion, one hundred fourteen million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4519 4679 9038 9358 18076 18716 22595 23395 45190 46790 90380 93580 112975 116975 225950 233950 451900 467900 21144401 42288802 84577604 105722005 211444010 422888020 528610025 1057220050 2114440100