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130212320 = 25571929211
BaseRepresentation
bin1111100001011…
…10000111100000
3100002000110201112
413300232013200
5231313243240
620530522452
73140533520
oct760560740
9302013645
10130212320
1167557497
1237736428
1320c91314
1413417680
15b671665
hex7c2e1e0

130212320 has 192 divisors, whose sum is σ = 384652800. Its totient is φ = 40642560.

The previous prime is 130212317. The next prime is 130212337. The reversal of 130212320 is 23212031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 130212295 and 130212304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617015 + ... + 617225.

It is an arithmetic number, because the mean of its divisors is an integer number (2003400).

Almost surely, 2130212320 is an apocalyptic number.

130212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192326400).

130212320 is an abundant number, since it is smaller than the sum of its proper divisors (254440480).

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

130212320 is a wasteful number, since it uses less digits than its factorization.

130212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130212320 is about 11411.0613003349. The cubic root of 130212320 is about 506.8553390902.

Adding to 130212320 its reverse (23212031), we get a palindrome (153424351).

The spelling of 130212320 in words is "one hundred thirty million, two hundred twelve thousand, three hundred twenty".