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29012308900 = 2252170332
BaseRepresentation
bin11011000001010001…
…001011001110100100
32202212220202222220021
4123001101023032210
5433404122341100
621154510244524
72044644361651
oct330121131644
982786688807
1029012308900
11113387680a3
1257581b6744
1329748776b3
1415931c2c28
15b4c079a1a
hex6c144b3a4

29012308900 has 27 divisors (see below), whose sum is σ = 62960406691. Its totient is φ = 11604242240.

The previous prime is 29012308841. The next prime is 29012308901. The reversal of 29012308900 is 980321092.

The square root of 29012308900 is 170330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5145766756 + 23866542144 = 71734^2 + 154488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29012308901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1694784 + ... + 1711816.

Almost surely, 229012308900 is an apocalyptic number.

29012308900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29012308900 is the 170330-th square number.

It is an amenable number.

29012308900 is an abundant number, since it is smaller than the sum of its proper divisors (33948097791).

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

29012308900 is an frugal number, since it uses more digits than its factorization.

29012308900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34080 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

Adding to 29012308900 its reverse (980321092), we get a palindrome (29992629992).

The spelling of 29012308900 in words is "twenty-nine billion, twelve million, three hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17033 34066 68132 85165 170330 340660 425825 851650 1703300 290123089 580246178 1160492356 1450615445 2901230890 5802461780 7253077225 14506154450 29012308900