Base | Representation |
---|---|
bin | 1111100111101… |
… | …10101111110100 |
3 | 100010120012222211 |
4 | 13303312233310 |
5 | 232021042400 |
6 | 21000303204 |
7 | 3150525421 |
oct | 763665764 |
9 | 303505884 |
10 | 131034100 |
11 | 67a6894a |
12 | 37a71b04 |
13 | 211bb392 |
14 | 1358cd48 |
15 | b784dba |
hex | 7cf6bf4 |
131034100 has 36 divisors (see below), whose sum is σ = 289018828. Its totient is φ = 51552000.
The previous prime is 131034097. The next prime is 131034133. The reversal of 131034100 is 1430131.
131034100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 13571856 + 117462244 = 3684^2 + 10838^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4641 + ... + 16840.
Almost surely, 2131034100 is an apocalyptic number.
131034100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131034100 is an abundant number, since it is smaller than the sum of its proper divisors (157984728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131034100 is a wasteful number, since it uses less digits than its factorization.
131034100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21556 (or 21549 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 131034100 is about 11447.0127107469. The cubic root of 131034100 is about 507.9193715423.
Adding to 131034100 its reverse (1430131), we get a palindrome (132464231).
The spelling of 131034100 in words is "one hundred thirty-one million, thirty-four thousand, one hundred".
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