| Base | Representation |
|---|---|
| bin | 111011011000… |
| … | …1010110000000 |
| 3 | 2011120211100000 |
| 4 | 1312301112000 |
| 5 | 30432310404 |
| 6 | 3031200000 |
| 7 | 525433620 |
| oct | 166612600 |
| 9 | 64524300 |
| 10 | 31135104 |
| 11 | 166362a0 |
| 12 | a516000 |
| 13 | 65b1850 |
| 14 | 41c6880 |
| 15 | 2b00339 |
| hex | 1db1580 |
31135104 has 384 divisors, whose sum is σ = 124750080. Its totient is φ = 7464960.
The previous prime is 31135079. The next prime is 31135121. The reversal of 31135104 is 40153113.
31135104 is a `hidden beast` number, since 311 + 351 + 0 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2395002 + ... + 2395014.
It is an arithmetic number, because the mean of its divisors is an integer number (324870).
Almost surely, 231135104 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 31135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).
31135104 is an abundant number, since it is smaller than the sum of its proper divisors (93614976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31135104 is a wasteful number, since it uses less digits than its factorization.
31135104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 31135104 is about 5579.8838697593. The cubic root of 31135104 is about 314.5937620370.
Adding to 31135104 its reverse (40153113), we get a palindrome (71288217).
Subtracting 31135104 from its reverse (40153113), we obtain a square (9018009 = 30032).
The spelling of 31135104 in words is "thirty-one million, one hundred thirty-five thousand, one hundred four".
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