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214130311101100 = 22528141712630041
BaseRepresentation
bin110000101100000000011001…
…001000001111101010101100
31001002011122202112212211102201
4300230000121020033222230
5211031302334120213400
62035230035031431244
763050255504036002
oct6054003110175254
91032148675784381
10214130311101100
1162257178283a09
1220023a7bb25524
13926352b6a1234
143ac3d689c0a72
1519b504a2a406a
hexc2c01920faac

214130311101100 has 36 divisors (see below), whose sum is σ = 464663522483608. Its totient is φ = 85651986672000.

The previous prime is 214130311101061. The next prime is 214130311101103. The reversal of 214130311101100 is 1101113031412.

It is not an unprimeable number, because it can be changed into a prime (214130311101103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 80102080 + ... + 82732120.

Almost surely, 2214130311101100 is an apocalyptic number.

214130311101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214130311101100 is an abundant number, since it is smaller than the sum of its proper divisors (250533211382508).

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

214130311101100 is a wasteful number, since it uses less digits than its factorization.

214130311101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444226 (or 3444219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 214130311101100 its reverse (1101113031412), we get a palindrome (215231424132512).

The spelling of 214130311101100 in words is "two hundred fourteen trillion, one hundred thirty billion, three hundred eleven million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 814171 1628342 2630041 3256684 4070855 5260082 8141710 10520164 13150205 16283420 20354275 26300410 40708550 52600820 65751025 81417100 131502050 263004100 2141303111011 4282606222022 8565212444044 10706515555055 21413031110110 42826062220220 53532577775275 107065155550550 214130311101100