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1333130420 = 22570019521
BaseRepresentation
bin100111101110101…
…1111010010110100
310102220112001010202
41033131133102310
510212240133140
6340141340032
745015264416
oct11735372264
93386461122
101333130420
11624576686
12312567618
13183267a8b
14c90a69b6
157c086915
hex4f75f4b4

1333130420 has 24 divisors (see below), whose sum is σ = 2800267848. Its totient is φ = 533120000.

The previous prime is 1333130413. The next prime is 1333130437. The reversal of 1333130420 is 240313331.

It can be written as a sum of positive squares in 4 ways, for example, as 83649316 + 1249481104 = 9146^2 + 35348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1333130392 and 1333130401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135260 + ... + 144780.

It is an arithmetic number, because the mean of its divisors is an integer number (116677827).

Almost surely, 21333130420 is an apocalyptic number.

1333130420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1333130420 is an abundant number, since it is smaller than the sum of its proper divisors (1467137428).

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

1333130420 is a wasteful number, since it uses less digits than its factorization.

1333130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16531 (or 16529 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1333130420 is about 36512.0585560442. The cubic root of 1333130420 is about 1100.5865797102.

Adding to 1333130420 its reverse (240313331), we get a palindrome (1573443751).

The spelling of 1333130420 in words is "one billion, three hundred thirty-three million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 7001 9521 14002 19042 28004 35005 38084 47605 70010 95210 140020 190420 66656521 133313042 266626084 333282605 666565210 1333130420