Base | Representation |
---|---|
bin | 1111100111101… |
… | …11110100011000 |
3 | 100010120110000100 |
4 | 13303313310120 |
5 | 232021212423 |
6 | 21000335400 |
7 | 3150544260 |
oct | 763676430 |
9 | 303513010 |
10 | 131038488 |
11 | 67a71179 |
12 | 37a74560 |
13 | 211c0389 |
14 | 135907a0 |
15 | b786343 |
hex | 7cf7d18 |
131038488 has 96 divisors (see below), whose sum is σ = 418728960. Its totient is φ = 36227520.
The previous prime is 131038483. The next prime is 131038493. The reversal of 131038488 is 884830131.
It is an interprime number because it is at equal distance from previous prime (131038483) and next prime (131038493).
It is a super-2 number, since 2×1310384882 = 34342170674652288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131038483) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11431 + ... + 19817.
It is an arithmetic number, because the mean of its divisors is an integer number (4361760).
Almost surely, 2131038488 is an apocalyptic number.
131038488 is a gapful number since it is divisible by the number (18) 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 131038488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209364480).
131038488 is an abundant number, since it is smaller than the sum of its proper divisors (287690472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131038488 is a wasteful number, since it uses less digits than its factorization.
131038488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8437 (or 8430 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 131038488 is about 11447.2043748681. The cubic root of 131038488 is about 507.9250411233.
The spelling of 131038488 in words is "one hundred thirty-one million, thirty-eight thousand, four hundred eighty-eight".
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