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130706443200 = 26352101359751
BaseRepresentation
bin111100110111010110…
…1100000101111000000
3110111101011020021111210
41321232231200233000
54120141322140300
6140013512410120
712305012302344
oct1715655405700
9414334207453
10130706443200
115048341a393
12213b93a6940
13c43035b868
14647d23d624
1535eedaa050
hex1e6eb60bc0

130706443200 has 336 divisors, whose sum is σ = 434856453120. Its totient is φ = 34368000000.

The previous prime is 130706443171. The next prime is 130706443207. The reversal of 130706443200 is 2344607031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130706443207) 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, 174042825 + ... + 174043575.

Almost surely, 2130706443200 is an apocalyptic number.

130706443200 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 130706443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217428226560).

130706443200 is an abundant number, since it is smaller than the sum of its proper divisors (304150009920).

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

130706443200 is a wasteful number, since it uses less digits than its factorization.

130706443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 130706443200 in words is "one hundred thirty billion, seven hundred six million, four hundred forty-three thousand, two hundred".