Base | Representation |
---|---|
bin | 1011101010011111… |
… | …0100010011001010 |
3 | 22002012112021120100 |
4 | 2322213310103022 |
5 | 22403014000020 |
6 | 1234404110230 |
7 | 140406026625 |
oct | 27247642312 |
9 | 8065467510 |
10 | 3131000010 |
11 | 1367405716 |
12 | 734695376 |
13 | 3ab890238 |
14 | 219b86dbc |
15 | 134d1da90 |
hex | ba9f44ca |
3131000010 has 24 divisors (see below), whose sum is σ = 8140600260. Its totient is φ = 834933312.
The previous prime is 3130999957. The next prime is 3131000017. The reversal of 3131000010 is 100001313.
It can be written as a sum of positive squares in 2 ways, for example, as 2839717521 + 291282489 = 53289^2 + 17067^2 .
It is a super-2 number, since 2×31310000102 = 19606322125240000200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 3130999956 and 3131000001.
It is not an unprimeable number, because it can be changed into a prime (3131000017) 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 11 ways as a sum of consecutive naturals, for example, 17394355 + ... + 17394534.
Almost surely, 23131000010 is an apocalyptic number.
3131000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
3131000010 is an abundant number, since it is smaller than the sum of its proper divisors (5009600250).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3131000010 is a wasteful number, since it uses less digits than its factorization.
3131000010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34788902 (or 34788899 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 9.
The square root of 3131000010 is about 55955.3394235081. The cubic root of 3131000010 is about 1462.9439581393.
Adding to 3131000010 its reverse (100001313), we get a palindrome (3231001323).
The spelling of 3131000010 in words is "three billion, one hundred thirty-one million, ten", and thus it is an aban number.
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