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1330103200 = 25521662629
BaseRepresentation
bin100111101000111…
…1100001110100000
310102200211020120111
41033101330032200
510211001300300
6335552421104
744650455616
oct11721741640
93380736514
101330103200
11622899248
12311547794
13182747c1a
14c89196b6
157bb899ba
hex4f47c3a0

1330103200 has 36 divisors (see below), whose sum is σ = 3247116390. Its totient is φ = 532040960.

The previous prime is 1330103167. The next prime is 1330103209. The reversal of 1330103200 is 23010331.

It can be written as a sum of positive squares in 3 ways, for example, as 1201870224 + 128232976 = 34668^2 + 11324^2 .

It is not an unprimeable number, because it can be changed into a prime (1330103209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 830515 + ... + 832114.

Almost surely, 21330103200 is an apocalyptic number.

1330103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330103200 is an abundant number, since it is smaller than the sum of its proper divisors (1917013190).

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

1330103200 is a wasteful number, since it uses less digits than its factorization.

1330103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662649 (or 1662636 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1330103200 is about 36470.5799240977. The cubic root of 1330103200 is about 1099.7528921514.

Adding to 1330103200 its reverse (23010331), we get a palindrome (1353113531).

The spelling of 1330103200 in words is "one billion, three hundred thirty million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1662629 3325258 6650516 8313145 13301032 16626290 26602064 33252580 41565725 53204128 66505160 83131450 133010320 166262900 266020640 332525800 665051600 1330103200