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20130100 = 2252474283
BaseRepresentation
bin100110011001…
…0100100110100
31101212201022021
41030302210310
520123130400
61555242524
7333050224
oct114624464
941781267
1020130100
11103aa051
1268a9444
13422a703
142960084
151b7971a
hex1332934

20130100 has 36 divisors (see below), whose sum is σ = 44622144. Its totient is φ = 7878880.

The previous prime is 20130079. The next prime is 20130163. The reversal of 20130100 is 103102.

It is a congruent number.

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, 2559 + ... + 6841.

It is an arithmetic number, because the mean of its divisors is an integer number (1239504).

Almost surely, 220130100 is an apocalyptic number.

20130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311072).

20130100 is an abundant number, since it is smaller than the sum of its proper divisors (24492044).

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

20130100 is a wasteful number, since it uses less digits than its factorization.

20130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 20130100 is about 4486.6579990010. The cubic root of 20130100 is about 272.0290662422.

Adding to 20130100 its reverse (103102), we get a palindrome (20233202).

The spelling of 20130100 in words is "twenty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4283 4700 8566 17132 21415 42830 85660 107075 201301 214150 402602 428300 805204 1006505 2013010 4026020 5032525 10065050 20130100