| Base | Representation |
|---|---|
| bin | 100111101010101… |
| … | …0111011010101000 |
| 3 | 10102202111212010100 |
| 4 | 1033111113122220 |
| 5 | 10211214013000 |
| 6 | 340023545400 |
| 7 | 44661215250 |
| oct | 11725273250 |
| 9 | 3382455110 |
| 10 | 1331001000 |
| 11 | 62335182a |
| 12 | 3118bb260 |
| 13 | 1829a0774 |
| 14 | c8ab0960 |
| 15 | 7bcb5a00 |
| hex | 4f5576a8 |
1331001000 has 384 divisors, whose sum is σ = 5289672960. Its totient is φ = 295488000.
The previous prime is 1331000989. The next prime is 1331001011. The reversal of 1331001000 is 1001331.
It is an interprime number because it is at equal distance from previous prime (1331000989) and next prime (1331001011).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 2330715 + ... + 2331285.
It is an arithmetic number, because the mean of its divisors is an integer number (13775190).
Almost surely, 21331001000 is an apocalyptic number.
1331001000 is a gapful number since it is divisible by the number (10) 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 1331001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644836480).
1331001000 is an abundant number, since it is smaller than the sum of its proper divisors (3958671960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331001000 is a wasteful number, since it uses less digits than its factorization.
1331001000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 642 (or 625 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 9.
The square root of 1331001000 is about 36482.8863989679. The cubic root of 1331001000 is about 1100.0002754820. Note that the first 3 decimals are identical.
Adding to 1331001000 its reverse (1001331), we get a palindrome (1332002331).
The spelling of 1331001000 in words is "one billion, three hundred thirty-one million, one thousand".
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