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209020100 = 225217122953
BaseRepresentation
bin11000111010101…
…10010011000100
3112120022022200012
430131112103010
5412002120400
632424005352
75115433022
oct1435262304
9476268605
10209020100
11a7a93993
125a000858
13343c4b43
141da8d712
151353bd35
hexc7564c4

209020100 has 36 divisors (see below), whose sum is σ = 480258324. Its totient is φ = 78689280.

The previous prime is 209020093. The next prime is 209020111. The reversal of 209020100 is 1020902.

It can be written as a sum of positive squares in 6 ways, for example, as 15476356 + 193543744 = 3934^2 + 13912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59777 + ... + 63176.

It is an arithmetic number, because the mean of its divisors is an integer number (13340509).

Almost surely, 2209020100 is an apocalyptic number.

209020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209020100 is an abundant number, since it is smaller than the sum of its proper divisors (271238224).

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

209020100 is a wasteful number, since it uses less digits than its factorization.

209020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122984 (or 122977 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 209020100 is about 14457.5274511239. The cubic root of 209020100 is about 593.4662378145.

The spelling of 209020100 in words is "two hundred nine million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 122953 245906 491812 614765 1229530 2090201 2459060 3073825 4180402 6147650 8360804 10451005 12295300 20902010 41804020 52255025 104510050 209020100