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130322214960 = 243572101109721
BaseRepresentation
bin111100101011111001…
…1110011000000110000
3110110101101020110110020
41321113303303000300
54113344441334320
6135511425203440
712262335356400
oct1712763630060
9413341213406
10130322214960
11502a6546a93
1221310790580
13c39b87cc82
1464441c2800
1535cb2ae940
hex1e57cf3030

130322214960 has 240 divisors, whose sum is σ = 474615238752. Its totient is φ = 29492736000.

The previous prime is 130322214943. The next prime is 130322214961. The reversal of 130322214960 is 69412223031.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (130322214961) 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, 1132900 + ... + 1242620.

Almost surely, 2130322214960 is an apocalyptic number.

130322214960 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 130322214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237307619376).

130322214960 is an abundant number, since it is smaller than the sum of its proper divisors (344293023792).

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

130322214960 is a wasteful number, since it uses less digits than its factorization.

130322214960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109852 (or 109839 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 130322214960 its reverse (69412223031), we get a palindrome (199734437991).

The spelling of 130322214960 in words is "one hundred thirty billion, three hundred twenty-two million, two hundred fourteen thousand, nine hundred sixty".