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201324000100 = 22522969422069
BaseRepresentation
bin1011101101111111011…
…0000111001101100100
3201020122121121212012011
42323133312013031210
511244302421000400
6232253104004004
720354665523416
oct2733766071544
9636577555164
10201324000100
1178421171063
1233027000604
1315ca570b1a2
149a5bc8c9b6
1553848058ba
hex2edfd87364

201324000100 has 36 divisors (see below), whose sum is σ = 451937675700. Its totient is φ = 77752716160.

The previous prime is 201324000049. The next prime is 201324000181. The reversal of 201324000100 is 1000423102.

It can be written as a sum of positive squares in 6 ways, for example, as 3605041764 + 197718958336 = 60042^2 + 444656^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34708135 + ... + 34713934.

It is an arithmetic number, because the mean of its divisors is an integer number (12553824325).

Almost surely, 2201324000100 is an apocalyptic number.

201324000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201324000100 is an abundant number, since it is smaller than the sum of its proper divisors (250613675600).

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

201324000100 is a wasteful number, since it uses less digits than its factorization.

201324000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69422112 (or 69422105 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 201324000100 its reverse (1000423102), we get a palindrome (202324423202).

The spelling of 201324000100 in words is "two hundred one billion, three hundred twenty-four million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 69422069 138844138 277688276 347110345 694220690 1388441380 1735551725 2013240001 3471103450 4026480002 6942206900 8052960004 10066200005 20132400010 40264800020 50331000025 100662000050 201324000100