Base | Representation |
---|---|
bin | 11110111111101110100… |
… | …111000001110101000000 |
3 | 21112121221012101202222021 |
4 | 132333232213001311000 |
5 | 234344231034120112 |
6 | 4310303005451224 |
7 | 306613453304161 |
oct | 36775647016500 |
9 | 7477835352867 |
10 | 2130012020032 |
11 | 75137328a826 |
12 | 2a4988870b14 |
13 | 125b22a87040 |
14 | 751437a7768 |
15 | 3a616e17907 |
hex | 1efee9c1d40 |
2130012020032 has 56 divisors (see below), whose sum is σ = 4552108320200. Its totient is φ = 983032436736.
The previous prime is 2130012020027. The next prime is 2130012020069. The reversal of 2130012020032 is 2300202100312.
It can be written as a sum of positive squares in 4 ways, for example, as 46770117696 + 2083241902336 = 216264^2 + 1443344^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 2130012019988 and 2130012020015.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20005594 + ... + 20111782.
It is an arithmetic number, because the mean of its divisors is an integer number (81287648575).
Almost surely, 22130012020032 is an apocalyptic number.
It is an amenable number.
2130012020032 is an abundant number, since it is smaller than the sum of its proper divisors (2422096300168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130012020032 is a wasteful number, since it uses less digits than its factorization.
2130012020032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130323 (or 130313 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
Adding to 2130012020032 its reverse (2300202100312), we get a palindrome (4430214120344).
The spelling of 2130012020032 in words is "two trillion, one hundred thirty billion, twelve million, twenty thousand, thirty-two".
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