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130144214200 = 235271113650071
BaseRepresentation
bin111100100110100110…
…0110001110010111000
3110102220222022002022111
41321031030301302320
54113013404323300
6135442030102104
712255044365630
oct1711514616270
9412828262274
10130144214200
115021501a420
122128104a934
13c370a29090
1464286c96c0
1535ba84d9ba
hex1e4d331cb8

130144214200 has 192 divisors, whose sum is σ = 406268997120. Its totient is φ = 37444032000.

The previous prime is 130144214143. The next prime is 130144214203. The reversal of 130144214200 is 2412441031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130144214203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 124836 + ... + 525235.

It is an arithmetic number, because the mean of its divisors is an integer number (2115984360).

Almost surely, 2130144214200 is an apocalyptic number.

130144214200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130144214200 is an abundant number, since it is smaller than the sum of its proper divisors (276124782920).

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

130144214200 is a wasteful number, since it uses less digits than its factorization.

130144214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650118 (or 650109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 130144214200 its reverse (2412441031), we get a palindrome (132556655231).

The spelling of 130144214200 in words is "one hundred thirty billion, one hundred forty-four million, two hundred fourteen thousand, two hundred".