| Base | Representation |
|---|---|
| bin | 100000110100000… |
| … | …0000010100010100 |
| 3 | 2211201201220102201 |
| 4 | 1001220000110110 |
| 5 | 4223324143400 |
| 6 | 301130214244 |
| 7 | 36166253215 |
| oct | 10150002424 |
| 9 | 2751656381 |
| 10 | 1101006100 |
| 11 | 5155421a7 |
| 12 | 268884384 |
| 13 | 1471438cc |
| 14 | a632140c |
| 15 | 669d406a |
| hex | 41a00514 |
1101006100 has 72 divisors (see below), whose sum is σ = 2446015320. Its totient is φ = 430010880.
The previous prime is 1101006097. The next prime is 1101006103. The reversal of 1101006100 is 16001011.
It is an interprime number because it is at equal distance from previous prime (1101006097) and next prime (1101006103).
It can be written as a sum of positive squares in 12 ways, for example, as 129686544 + 971319556 = 11388^2 + 31166^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1101006103) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552546 + ... + 1553254.
It is an arithmetic number, because the mean of its divisors is an integer number (33972435).
Almost surely, 21101006100 is an apocalyptic number.
1101006100 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 1101006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223007660).
1101006100 is an abundant number, since it is smaller than the sum of its proper divisors (1345009220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1101006100 is a wasteful number, since it uses less digits than its factorization.
1101006100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 10.
The square root of 1101006100 is about 33181.4119651349. The cubic root of 1101006100 is about 1032.5947398639.
Adding to 1101006100 its reverse (16001011), we get a palindrome (1117007111).
The spelling of 1101006100 in words is "one billion, one hundred one million, six thousand, one hundred".
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