Base | Representation |
---|---|
bin | 101110100100001110… |
… | …1101110100000000000 |
3 | 100120010011122100020201 |
4 | 1131020131232200000 |
5 | 3114300000000000 |
6 | 113534523014544 |
7 | 10140043655335 |
oct | 1351035564000 |
9 | 316104570221 |
10 | 100000000000 |
11 | 394564360aa |
12 | 1746996a454 |
13 | 957880c744 |
14 | 4ba906098c |
15 | 290423996a |
hex | 174876e800 |
100000000000 has 144 divisors (see below), whose sum is σ = 249938963820. Its totient is φ = 40000000000.
The previous prime is 99999999977. The next prime is 100000000003. The reversal of 100000000000 is 1.
It is a happy number.
It is a perfect power (a 11-th power), and thus also a powerful number.
It can be written as a sum of positive squares in 6 ways, for example, as 14997431296 + 85002568704 = 122464^2 + 291552^2 .
It is an ABA number since it can be written as A⋅BA, here for A=10, B=10.
It is a Harshad number since it is a multiple of its sum of digits (1).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (100000000003) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19999999998 + ... + 20000000002.
Almost surely, 2100000000000 is an apocalyptic number.
100000000000 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 100000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124969481910).
100000000000 is an abundant number, since it is smaller than the sum of its proper divisors (149938963820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100000000000 is an frugal number, since it uses more digits than its factorization.
100000000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 77 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 1.
The spelling of 100000000000 in words is "one hundred billion", and thus it is an aban number.
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