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130285850112 = 29331117101499
BaseRepresentation
bin111100101010110100…
…1000100111000000000
3110110021211210221021000
41321111221010320000
54113311134200422
6135504045532000
712261414311415
oct1712551047000
9413254727230
10130285850112
1150287a695a0
1221300574000
13c394189c02
14643d43810c
1535c7ec9cac
hex1e55a44e00

130285850112 has 640 divisors, whose sum is σ = 450774720000. Its totient is φ = 36716544000.

The previous prime is 130285850087. The next prime is 130285850143. The reversal of 130285850112 is 211058582031.

130285850112 is a `hidden beast` number, since 130 + 2 + 8 + 5 + 8 + 501 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261093639 + ... + 261094137.

It is an arithmetic number, because the mean of its divisors is an integer number (704335500).

Almost surely, 2130285850112 is an apocalyptic number.

130285850112 is a gapful number since it is divisible by the number (12) 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 130285850112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225387360000).

130285850112 is an abundant number, since it is smaller than the sum of its proper divisors (320488869888).

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

130285850112 is a wasteful number, since it uses less digits than its factorization.

130285850112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 130285850112 in words is "one hundred thirty billion, two hundred eighty-five million, eight hundred fifty thousand, one hundred twelve".