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130322212200 = 233552191071319
BaseRepresentation
bin111100101011111001…
…1110010010101101000
3110110101101020022200000
41321113303302111220
54113344441242300
6135511425143000
712262335345345
oct1712763622550
9413341208600
10130322212200
11502a6544a04
122131078aa60
13c39b87b93b
1464441c17cc
1535cb2adc00
hex1e57cf2568

130322212200 has 576 divisors, whose sum is σ = 482594112000. Its totient is φ = 32591082240.

The previous prime is 130322212123. The next prime is 130322212201. The reversal of 130322212200 is 2212223031.

130322212200 is a `hidden beast` number, since 130 + 322 + 2 + 12 + 200 = 666.

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 (130322212201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98803141 + ... + 98804459.

It is an arithmetic number, because the mean of its divisors is an integer number (837837000).

Almost surely, 2130322212200 is an apocalyptic number.

130322212200 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 130322212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056000).

130322212200 is an abundant number, since it is smaller than the sum of its proper divisors (352271899800).

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

130322212200 is a wasteful number, since it uses less digits than its factorization.

130322212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130322212200 its reverse (2212223031), we get a palindrome (132534435231).

The spelling of 130322212200 in words is "one hundred thirty billion, three hundred twenty-two million, two hundred twelve thousand, two hundred".