Base | Representation |
---|---|
bin | 111100100010010101… |
… | …1010000111010001100 |
3 | 110102120000012202211102 |
4 | 1321010223100322030 |
5 | 4112220302223040 |
6 | 135415521042232 |
7 | 12251360030012 |
oct | 1710453207214 |
9 | 412500182742 |
10 | 130001211020 |
11 | 50151326a7a |
12 | 21241186378 |
13 | c34a209b05 |
14 | 64137028b2 |
15 | 35ad002515 |
hex | 1e44ad0e8c |
130001211020 has 144 divisors (see below), whose sum is σ = 301144011840. Its totient is φ = 47074922496.
The previous prime is 130001211017. The next prime is 130001211059. The reversal of 130001211020 is 20112100031.
It is a junction number, because it is equal to n+sod(n) for n = 130001210992 and 130001211010.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 49111337 + ... + 49113983.
It is an arithmetic number, because the mean of its divisors is an integer number (2091277860).
Almost surely, 2130001211020 is an apocalyptic number.
130001211020 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 130001211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150572005920).
130001211020 is an abundant number, since it is smaller than the sum of its proper divisors (171142800820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130001211020 is a wasteful number, since it uses less digits than its factorization.
130001211020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3012 (or 2993 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 11.
Adding to 130001211020 its reverse (20112100031), we get a palindrome (150113311051).
The spelling of 130001211020 in words is "one hundred thirty billion, one million, two hundred eleven thousand, twenty".
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