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130130320320 = 263257111345139
BaseRepresentation
bin111100100110001011…
…1110001101111000000
3110102220000011012111100
41321030113301233000
54113001330222240
6135440412214400
712254515320660
oct1711427615700
9412800135440
10130130320320
115020819a780
122127846a400
13c36aba3050
1464269101a0
1535b9506e30
hex1e4c5f1bc0

130130320320 has 672 divisors, whose sum is σ = 600978792960. Its totient is φ = 24959508480.

The previous prime is 130130320303. The next prime is 130130320343. The reversal of 130130320320 is 23023031031.

130130320320 is a `hidden beast` number, since 13 + 0 + 13 + 0 + 320 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 130130320293 and 130130320302.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2860311 + ... + 2905449.

It is an arithmetic number, because the mean of its divisors is an integer number (894313680).

Almost surely, 2130130320320 is an apocalyptic number.

130130320320 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 130130320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300489396480).

130130320320 is an abundant number, since it is smaller than the sum of its proper divisors (470848472640).

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

130130320320 is a wasteful number, since it uses less digits than its factorization.

130130320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45193 (or 45180 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130130320320 its reverse (23023031031), we get a palindrome (153153351351).

The spelling of 130130320320 in words is "one hundred thirty billion, one hundred thirty million, three hundred twenty thousand, three hundred twenty".