| Base | Representation |
|---|---|
| bin | 100000110011111… |
| … | …1110110111000100 |
| 3 | 2211201201121020200 |
| 4 | 1001213332313010 |
| 5 | 4223324001012 |
| 6 | 301130130500 |
| 7 | 36166226631 |
| oct | 10147766704 |
| 9 | 2751647220 |
| 10 | 1101000132 |
| 11 | 515538771 |
| 12 | 268880a30 |
| 13 | 147140c8b |
| 14 | a631d188 |
| 15 | 669d23dc |
| hex | 419fedc4 |
1101000132 has 72 divisors (see below), whose sum is σ = 2840193720. Its totient is φ = 359546880.
The previous prime is 1101000119. The next prime is 1101000137. The reversal of 1101000132 is 2310001011.
It can be written as a sum of positive squares in 4 ways, for example, as 52794756 + 1048205376 = 7266^2 + 32376^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1101000137) 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 23 ways as a sum of consecutive naturals, for example, 360532 + ... + 363572.
It is an arithmetic number, because the mean of its divisors is an integer number (39447135).
Almost surely, 21101000132 is an apocalyptic number.
1101000132 is a gapful number since it is divisible by the number (12) 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 1101000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420096860).
1101000132 is an abundant number, since it is smaller than the sum of its proper divisors (1739193588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1101000132 is a wasteful number, since it uses less digits than its factorization.
1101000132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3253 (or 3248 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 1101000132 is about 33181.3220351450. The cubic root of 1101000132 is about 1032.5928741350.
Adding to 1101000132 its reverse (2310001011), we get a palindrome (3411001143).
The spelling of 1101000132 in words is "one billion, one hundred one million, one hundred thirty-two", and thus it is an aban number.
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