Base | Representation |
---|---|
bin | 1011101010011111… |
… | …0100100010101000 |
3 | 22002012112022221000 |
4 | 2322213310202220 |
5 | 22403014013000 |
6 | 1234404115000 |
7 | 140406032541 |
oct | 27247644250 |
9 | 8065468830 |
10 | 3131001000 |
11 | 1367406436 |
12 | 734695a60 |
13 | 3ab89081a |
14 | 219b874c8 |
15 | 134d1e000 |
hex | ba9f48a8 |
3131001000 has 128 divisors (see below), whose sum is σ = 10854230400. Its totient is φ = 834926400.
The previous prime is 3131000969. The next prime is 3131001019. The reversal of 3131001000 is 1001313.
3131001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30982 + ... + 84981.
It is an arithmetic number, because the mean of its divisors is an integer number (84798675).
Almost surely, 23131001000 is an apocalyptic number.
3131001000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
3131001000 is an abundant number, since it is smaller than the sum of its proper divisors (7723229400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3131001000 is a wasteful number, since it uses less digits than its factorization.
3131001000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 115993 (or 115973 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 9.
The square root of 3131001000 is about 55955.3482698482. The cubic root of 3131001000 is about 1462.9441123301.
Adding to 3131001000 its reverse (1001313), we get a palindrome (3132002313).
The spelling of 3131001000 in words is "three billion, one hundred thirty-one million, one thousand".
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