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130281121152 = 2732713295597
BaseRepresentation
bin111100101010101011…
…1000010010110000000
3110110021111220200100100
41321111113002112000
54113303431334102
6135503400322400
712261326154360
oct1712527022600
9413244820310
10130281121152
1150285329666
12212baa73400
13c3931c2600
14643c9669a0
1535c7893a1c
hex1e555c2580

130281121152 has 288 divisors, whose sum is σ = 463952389680. Its totient is φ = 34359496704.

The previous prime is 130281121129. The next prime is 130281121153. The reversal of 130281121152 is 251121182031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130281121153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1315018 + ... + 1410614.

Almost surely, 2130281121152 is an apocalyptic number.

130281121152 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 130281121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231976194840).

130281121152 is an abundant number, since it is smaller than the sum of its proper divisors (333671268528).

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

130281121152 is a wasteful number, since it uses less digits than its factorization.

130281121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95650 (or 95622 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 130281121152 in words is "one hundred thirty billion, two hundred eighty-one million, one hundred twenty-one thousand, one hundred fifty-two".