Base | Representation |
---|---|
bin | 10110100110000001… |
… | …01010001100100000 |
3 | 1011022100220220222222 |
4 | 23103000222030200 |
5 | 144320301200000 |
6 | 5323354050212 |
7 | 606411102014 |
oct | 132300521440 |
9 | 34270826888 |
10 | 12130100000 |
11 | 5165141737 |
12 | 2426419968 |
13 | 11b40b6985 |
14 | 831006544 |
15 | 4aedbda85 |
hex | 2d302a320 |
12130100000 has 144 divisors (see below), whose sum is σ = 30170147112. Its totient is φ = 4800000000.
The previous prime is 12130099997. The next prime is 12130100041. The reversal of 12130100000 is 103121.
It can be written as a sum of positive squares in 12 ways, for example, as 6565536784 + 5564563216 = 81028^2 + 74596^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10099400 + ... + 10100600.
Almost surely, 212130100000 is an apocalyptic number.
12130100000 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 12130100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085073556).
12130100000 is an abundant number, since it is smaller than the sum of its proper divisors (18040047112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12130100000 is an equidigital number, since it uses as much as digits as its factorization.
12130100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1337 (or 1309 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 8.
Adding to 12130100000 its reverse (103121), we get a palindrome (12130203121).
The spelling of 12130100000 in words is "twelve billion, one hundred thirty million, one hundred thousand".
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