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211300100 = 225211192091
BaseRepresentation
bin11001001100000…
…10111100000100
3112201121011020122
430212002330010
5413043100400
632544521112
75144010164
oct1446027404
9481534218
10211300100
11a9300990
125a920198
1334a1285b
14200c45a4
151383c685
hexc982f04

211300100 has 36 divisors (see below), whose sum is σ = 500207568. Its totient is φ = 76836000.

The previous prime is 211300099. The next prime is 211300127. The reversal of 211300100 is 1003112.

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 11 ways as a sum of consecutive naturals, for example, 94946 + ... + 97145.

Almost surely, 2211300100 is an apocalyptic number.

211300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211300100 is an abundant number, since it is smaller than the sum of its proper divisors (288907468).

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

211300100 is a wasteful number, since it uses less digits than its factorization.

211300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192116 (or 192109 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 211300100 is about 14536.1652439700. The cubic root of 211300100 is about 595.6162905612.

Adding to 211300100 its reverse (1003112), we get a palindrome (212303212).

The spelling of 211300100 in words is "two hundred eleven million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 192091 384182 768364 960455 1920910 2113001 3841820 4226002 4802275 8452004 9604550 10565005 19209100 21130010 42260020 52825025 105650050 211300100