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130111003222200 = 233252711133137157401
BaseRepresentation
bin11101100101010111010100…
…001000001110000010111000
3122001200111020112011020021200
4131211113110020032002320
5114023214313311102300
61140420100354134200
736256131644423130
oct3545272410160270
9561614215136250
10130111003222200
1138503848371aa0
1212714473881360
13577a551879aa0
14241b5986cbac0
1510097447ac200
hex7655d420e0b8

130111003222200 has 4608 divisors, whose sum is σ = 627497917562880. Its totient is φ = 23290675200000.

The previous prime is 130111003222183. The next prime is 130111003222201. The reversal of 130111003222200 is 2222300111031.

130111003222200 is a `hidden beast` number, since 1 + 30 + 1 + 110 + 0 + 322 + 2 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130111003222201) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 324466342000 + ... + 324466342400.

It is an arithmetic number, because the mean of its divisors is an integer number (136175763360).

Almost surely, 2130111003222200 is an apocalyptic number.

130111003222200 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 130111003222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313748958781440).

130111003222200 is an abundant number, since it is smaller than the sum of its proper divisors (497386914340680).

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

130111003222200 is a wasteful number, since it uses less digits than its factorization.

130111003222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130111003222200 its reverse (2222300111031), we get a palindrome (132333303333231).

The spelling of 130111003222200 in words is "one hundred thirty trillion, one hundred eleven billion, three million, two hundred twenty-two thousand, two hundred".