Base | Representation |
---|---|
bin | 1111101001011… |
… | …01000010110100 |
3 | 100010222112001212 |
4 | 13310231002310 |
5 | 232100202000 |
6 | 21005140552 |
7 | 3152443004 |
oct | 764550264 |
9 | 303875055 |
10 | 131256500 |
11 | 680aaa51 |
12 | 37b5a758 |
13 | 2126868b |
14 | 1360a004 |
15 | b7cac35 |
hex | 7d2d0b4 |
131256500 has 24 divisors (see below), whose sum is σ = 286665288. Its totient is φ = 52502400.
The previous prime is 131256491. The next prime is 131256509. The reversal of 131256500 is 5652131.
131256500 is digitally balanced in base 3, 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 (131256491) and next prime (131256509).
It can be written as a sum of positive squares in 4 ways, for example, as 1387684 + 129868816 = 1178^2 + 11396^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131256509) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130757 + ... + 131756.
It is an arithmetic number, because the mean of its divisors is an integer number (11944387).
Almost surely, 2131256500 is an apocalyptic number.
131256500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131256500 is an abundant number, since it is smaller than the sum of its proper divisors (155408788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131256500 is a wasteful number, since it uses less digits than its factorization.
131256500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 262532 (or 262520 counting only the distinct ones).
The product of its (nonzero) digits is 900, while the sum is 23.
The square root of 131256500 is about 11456.7229171347. The cubic root of 131256500 is about 508.2065675722.
The spelling of 131256500 in words is "one hundred thirty-one million, two hundred fifty-six thousand, five hundred".
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