Base | Representation |
---|---|
bin | 111100110011… |
… | …1001110100100 |
3 | 2012222200021110 |
4 | 1321213032210 |
5 | 31130130400 |
6 | 3055145020 |
7 | 534655620 |
oct | 171471644 |
9 | 65880243 |
10 | 31880100 |
11 | 16aa4a9a |
12 | a815170 |
13 | 67b2985 |
14 | 433c180 |
15 | 2beae50 |
hex | 1e673a4 |
31880100 has 288 divisors, whose sum is σ = 119992320. Its totient is φ = 6359040.
The previous prime is 31880099. The next prime is 31880129. The reversal of 31880100 is 108813.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678277 + ... + 678323.
It is an arithmetic number, because the mean of its divisors is an integer number (416640).
Almost surely, 231880100 is an apocalyptic number.
31880100 is a gapful number since it is divisible by the number (30) 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 31880100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).
31880100 is an abundant number, since it is smaller than the sum of its proper divisors (88112220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31880100 is a wasteful number, since it uses less digits than its factorization.
31880100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 107 (or 100 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 21.
The square root of 31880100 is about 5646.2465408446. The cubic root of 31880100 is about 317.0831945693.
Adding to 31880100 its reverse (108813), we get a palindrome (31988913).
The spelling of 31880100 in words is "thirty-one million, eight hundred eighty thousand, one hundred".
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