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53130100 = 22521731253
BaseRepresentation
bin1100101010101…
…1001101110100
310200222021210111
43022223031310
5102100130400
65134432404
71213412152
oct312531564
9120867714
1053130100
1127a99481
1215962704
13b01303a
1470b03d2
1549e73ba
hex32ab374

53130100 has 36 divisors (see below), whose sum is σ = 122078124. Its totient is φ = 20001280.

The previous prime is 53130089. The next prime is 53130131. The reversal of 53130100 is 103135.

It can be written as a sum of positive squares in 6 ways, for example, as 219024 + 52911076 = 468^2 + 7274^2 .

It is a congruent number.

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, 13927 + ... + 17326.

It is an arithmetic number, because the mean of its divisors is an integer number (3391059).

Almost surely, 253130100 is an apocalyptic number.

53130100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53130100 is an abundant number, since it is smaller than the sum of its proper divisors (68948024).

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

53130100 is a wasteful number, since it uses less digits than its factorization.

53130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31284 (or 31277 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 53130100 is about 7289.0397172741. The cubic root of 53130100 is about 375.9356782231.

Adding to 53130100 its reverse (103135), we get a palindrome (53233235).

The spelling of 53130100 in words is "fifty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 31253 62506 125012 156265 312530 531301 625060 781325 1062602 1562650 2125204 2656505 3125300 5313010 10626020 13282525 26565050 53130100