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1322303130 = 23451632473
BaseRepresentation
bin100111011010000…
…1011111010011010
310102011010221220000
41032310023322122
510202002200010
6335113313430
744524251111
oct11664137232
93364127800
101322303130
11619450a05
1230aa05876
13180c467b5
14c7888c78
157b1487c0
hex4ed0be9a

1322303130 has 40 divisors (see below), whose sum is σ = 3555528372. Its totient is φ = 352613952.

The previous prime is 1322303117. The next prime is 1322303131. The reversal of 1322303130 is 313032231.

1322303130 is a `hidden beast` number, since 1 + 322 + 30 + 313 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1270851201 + 51451929 = 35649^2 + 7173^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1322303131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 815427 + ... + 817046.

Almost surely, 21322303130 is an apocalyptic number.

1322303130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1322303130 is an abundant number, since it is smaller than the sum of its proper divisors (2233225242).

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

1322303130 is a wasteful number, since it uses less digits than its factorization.

1322303130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632492 (or 1632483 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1322303130 is about 36363.4862190082. The cubic root of 1322303130 is about 1097.5989308273.

Adding to 1322303130 its reverse (313032231), we get a palindrome (1635335361).

The spelling of 1322303130 in words is "one billion, three hundred twenty-two million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1632473 3264946 4897419 8162365 9794838 14692257 16324730 24487095 29384514 44076771 48974190 73461285 88153542 132230313 146922570 220383855 264460626 440767710 661151565 1322303130