Base | Representation |
---|---|
bin | 1111100111100… |
… | …11100100100000 |
3 | 100010112120010220 |
4 | 13303303210200 |
5 | 232020133323 |
6 | 21000123040 |
7 | 3150442452 |
oct | 763634440 |
9 | 303476126 |
10 | 131021088 |
11 | 67a5a0a0 |
12 | 37a66480 |
13 | 211b5493 |
14 | 135882d2 |
15 | b7810e3 |
hex | 7cf3920 |
131021088 has 96 divisors (see below), whose sum is σ = 382439232. Its totient is φ = 38937600.
The previous prime is 131021071. The next prime is 131021119. The reversal of 131021088 is 880120131.
It is a tau number, because it is divible by the number of its divisors (96).
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 15 ways as a sum of consecutive naturals, for example, 54798 + ... + 57138.
It is an arithmetic number, because the mean of its divisors is an integer number (3983742).
Almost surely, 2131021088 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131021088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191219616).
131021088 is an abundant number, since it is smaller than the sum of its proper divisors (251418144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131021088 is a wasteful number, since it uses less digits than its factorization.
131021088 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 24.
The square root of 131021088 is about 11446.4443387455. Note that the first 3 decimals coincide. The cubic root of 131021088 is about 507.9025584490.
The spelling of 131021088 in words is "one hundred thirty-one million, twenty-one thousand, eighty-eight".
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