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212200100 = 22527303143
BaseRepresentation
bin11001010010111…
…10101010100100
3112210021212210222
430221132222210
5413310400400
633020103512
75154446120
oct1451365244
9483255728
10212200100
11a9866092
125b094b98
1334c693b8
142027a580
1513969185
hexca5eaa4

212200100 has 36 divisors (see below), whose sum is σ = 526257984. Its totient is φ = 72754080.

The previous prime is 212200081. The next prime is 212200111. The reversal of 212200100 is 1002212.

212200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150872 + ... + 152271.

Almost surely, 2212200100 is an apocalyptic number.

212200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200100 is an abundant number, since it is smaller than the sum of its proper divisors (314057884).

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

212200100 is a wasteful number, since it uses less digits than its factorization.

212200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303164 (or 303157 counting only the distinct ones).

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

The square root of 212200100 is about 14567.0896200991. The cubic root of 212200100 is about 596.4607378297.

Adding to 212200100 its reverse (1002212), we get a palindrome (213202312).

The spelling of 212200100 in words is "two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 303143 606286 1212572 1515715 2122001 3031430 4244002 6062860 7578575 8488004 10610005 15157150 21220010 30314300 42440020 53050025 106100050 212200100