| Base | Representation |
|---|---|
| bin | 10010110100000000… |
| … | …11100010100000000 |
| 3 | 222001212221011100002 |
| 4 | 21122000130110000 |
| 5 | 131141100000000 |
| 6 | 4350114015132 |
| 7 | 505200404066 |
| oct | 113200342400 |
| 9 | 28055834302 |
| 10 | 10100000000 |
| 11 | 4313206542 |
| 12 | 1b5a5774a8 |
| 13 | c4c630c7c |
| 14 | 6bb554036 |
| 15 | 3e1a628d5 |
| hex | 25a01c500 |
10100000000 has 162 divisors, whose sum is σ = 25450182282. Its totient is φ = 4000000000.
The previous prime is 10099999951. The next prime is 10100000011. The reversal of 10100000000 is 101.
It can be written as a sum of positive squares in 9 ways, for example, as 6232155136 + 3867844864 = 78944^2 + 62192^2 .
It is a sliding number, since 10100000000 = 100000000 + 10000000000 and 1/100000000 + 1/10000000000 = 0.000000010100000000.
It is a Harshad number since it is a multiple of its sum of digits (2).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99999950 + ... + 100000050.
Almost surely, 210100000000 is an apocalyptic number.
10100000000 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 10100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725091141).
10100000000 is an abundant number, since it is smaller than the sum of its proper divisors (15350182282).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10100000000 is an frugal number, since it uses more digits than its factorization.
10100000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 157 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 2.
Adding to 10100000000 its reverse (101), we get a palindrome (10100000101).
Multiplying 10100000000 by its reverse (101), we get a square (1020100000000 = 10100002).
10100000000 divided by its reverse (101) gives a 8-th power (100000000 = 108).
The spelling of 10100000000 in words is "ten billion, one hundred million", and thus it is an aban number.
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