Base | Representation |
---|---|
bin | 111101000100100000… |
… | …0000101100000000000 |
3 | 110112111220012022010120 |
4 | 1322021000011200000 |
5 | 4122042231120000 |
6 | 140125350300240 |
7 | 12321646345500 |
oct | 1721100054000 |
9 | 415456168116 |
10 | 131147520000 |
11 | 5068a3a0972 |
12 | 21501057680 |
13 | c4a0852b53 |
14 | 64c1a57a00 |
15 | 36289846a0 |
hex | 1e89005800 |
131147520000 has 1440 divisors, whose sum is σ = 551266475760. Its totient is φ = 27525120000.
The previous prime is 131147519989. The next prime is 131147520011. The reversal of 131147520000 is 25741131.
131147520000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (131147519989) and next prime (131147520011).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3198719980 + ... + 3198720020.
Almost surely, 2131147520000 is an apocalyptic number.
131147520000 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 131147520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275633237880).
131147520000 is an abundant number, since it is smaller than the sum of its proper divisors (420118955760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131147520000 is an equidigital number, since it uses as much as digits as its factorization.
131147520000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 117 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 840, while the sum is 24.
The spelling of 131147520000 in words is "one hundred thirty-one billion, one hundred forty-seven million, five hundred twenty thousand".
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