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5252212100 = 2252101520021
BaseRepresentation
bin1001110010000111…
…00110010110000100
3111120000222000112002
410321003212112010
541224031241400
62225101044432
7244104031502
oct47103462604
914500860462
105252212100
112255811763
121026b56718
13659197115
1437b795672
1520b175ed5
hex1390e6584

5252212100 has 36 divisors (see below), whose sum is σ = 11510166948. Its totient is φ = 2080080000.

The previous prime is 5252212099. The next prime is 5252212157. The reversal of 5252212100 is 12122525.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 210076036 + 5042136064 = 14494^2 + 71008^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 249911 + ... + 270110.

Almost surely, 25252212100 is an apocalyptic number.

5252212100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5252212100 is an abundant number, since it is smaller than the sum of its proper divisors (6257954848).

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

5252212100 is a wasteful number, since it uses less digits than its factorization.

5252212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520136 (or 520129 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5252212100 is about 72472.1470635444. The cubic root of 5252212100 is about 1738.2573935170.

Adding to 5252212100 its reverse (12122525), we get a palindrome (5264334625).

The spelling of 5252212100 in words is "five billion, two hundred fifty-two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 520021 1040042 2080084 2600105 5200210 10400420 13000525 26001050 52002100 52522121 105044242 210088484 262610605 525221210 1050442420 1313053025 2626106050 5252212100