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210102100 = 225213295573
BaseRepresentation
bin11001000010111…
…10011101010100
3112122100021220021
430201132131110
5412241231400
632503114524
75130560365
oct1441363524
9478307807
10210102100
11a86628aa
125a442a44
13346b3490
141dc91b6c
15136a271a
hexc85e754

210102100 has 72 divisors (see below), whose sum is σ = 508014360. Its totient is φ = 74887680.

The previous prime is 210102089. The next prime is 210102121. The reversal of 210102100 is 1201012.

210102100 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 12 ways, for example, as 149915536 + 60186564 = 12244^2 + 7758^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34914 + ... + 40486.

It is an arithmetic number, because the mean of its divisors is an integer number (7055755).

Almost surely, 2210102100 is an apocalyptic number.

210102100 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 210102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254007180).

210102100 is an abundant number, since it is smaller than the sum of its proper divisors (297912260).

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

210102100 is a wasteful number, since it uses less digits than its factorization.

210102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 210102100 is about 14494.8991027878. The cubic root of 210102100 is about 594.4885089439.

Adding to 210102100 its reverse (1201012), we get a palindrome (211303112).

The spelling of 210102100 in words is "two hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 1300 1450 1508 1885 2900 3770 5573 7540 9425 11146 18850 22292 27865 37700 55730 72449 111460 139325 144898 161617 278650 289796 323234 362245 557300 646468 724490 808085 1448980 1616170 1811225 2101021 3232340 3622450 4040425 4202042 7244900 8080850 8404084 10505105 16161700 21010210 42020420 52525525 105051050 210102100