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211323311300 = 22522113233113
BaseRepresentation
bin1100010011001111011…
…0011101010011000100
3202012110111002111110102
43010303312131103010
511430242231430200
6241025223543232
721160534336253
oct3046366352304
9665414074412
10211323311300
1181692555612
1234b578bab18
1316c0a216c8a
14a329cb279a
15576c5c96d5
hex3133d9d4c4

211323311300 has 18 divisors (see below), whose sum is σ = 458571585738. Its totient is φ = 84529324480.

The previous prime is 211323311209. The next prime is 211323311321. The reversal of 211323311300 is 3113323112.

211323311300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 36184409284 + 175138902016 = 190222^2 + 418496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1056616457 + ... + 1056616656.

Almost surely, 2211323311300 is an apocalyptic number.

211323311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211323311300 is an abundant number, since it is smaller than the sum of its proper divisors (247248274438).

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

211323311300 is a wasteful number, since it uses less digits than its factorization.

211323311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113233127 (or 2113233120 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 211323311300 its reverse (3113323112), we get a palindrome (214436634412).

The spelling of 211323311300 in words is "two hundred eleven billion, three hundred twenty-three million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2113233113 4226466226 8452932452 10566165565 21132331130 42264662260 52830827825 105661655650 211323311300