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210103400 = 23521380809
BaseRepresentation
bin11001000010111…
…10110001101000
3112122100100200102
430201132301220
5412241302100
632503124532
75130564233
oct1441366150
9478310612
10210103400
11a8663881
125a443748
13346b3c50
141dc9241a
15136a2cd5
hexc85ec68

210103400 has 48 divisors (see below), whose sum is σ = 526073100. Its totient is φ = 77575680.

The previous prime is 210103379. The next prime is 210103469. The reversal of 210103400 is 4301012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 64032004 + 146071396 = 8002^2 + 12086^2 .

It is a congruent number.

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, 37805 + ... + 43004.

Almost surely, 2210103400 is an apocalyptic number.

210103400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210103400 is an abundant number, since it is smaller than the sum of its proper divisors (315969700).

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

210103400 is a wasteful number, since it uses less digits than its factorization.

210103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80838 (or 80829 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 210103400 is about 14494.9439460800. The cubic root of 210103400 is about 594.4897350676.

Adding to 210103400 its reverse (4301012), we get a palindrome (214404412).

The spelling of 210103400 in words is "two hundred ten million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 80809 161618 323236 404045 646472 808090 1050517 1616180 2020225 2101034 3232360 4040450 4202068 5252585 8080900 8404136 10505170 16161800 21010340 26262925 42020680 52525850 105051700 210103400