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11414014100 = 2252114140141
BaseRepresentation
bin10101010000101010…
…00000100010010100
31002110110110222210222
422220111000202110
5141333441422400
65124333533512
7552564343016
oct125025004224
932413428728
1011414014100
114927a05805
122266644298
1310cb9348c8
147a3c821b6
1546c0c0185
hex2a8540894

11414014100 has 18 divisors (see below), whose sum is σ = 24768410814. Its totient is φ = 4565605600.

The previous prime is 11414014091. The next prime is 11414014159. The reversal of 11414014100 is 141041411.

It can be written as a sum of positive squares in 3 ways, for example, as 344028304 + 11069985796 = 18548^2 + 105214^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57069971 + ... + 57070170.

It is an arithmetic number, because the mean of its divisors is an integer number (1376022823).

Almost surely, 211414014100 is an apocalyptic number.

11414014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414014100 is an abundant number, since it is smaller than the sum of its proper divisors (13354396714).

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

11414014100 is a wasteful number, since it uses less digits than its factorization.

11414014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114140155 (or 114140148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11414014100 its reverse (141041411), we get a palindrome (11555055511).

The spelling of 11414014100 in words is "eleven billion, four hundred fourteen million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 114140141 228280282 456560564 570700705 1141401410 2282802820 2853503525 5707007050 11414014100