Base | Representation |
---|---|
bin | 1001010111101010011011… |
… | …0011111101000010001000 |
3 | 1100110212121011112022110021 |
4 | 2111322212303331002020 |
5 | 2322242230313304000 |
6 | 33524422220030224 |
7 | 2112206250650323 |
oct | 225724663750210 |
9 | 40425534468407 |
10 | 10302130213000 |
11 | 3312121a2492a |
12 | 11a4756692374 |
13 | 5996433c2ba2 |
14 | 2788a91437ba |
15 | 12ceae63611a |
hex | 95ea6cfd088 |
10302130213000 has 128 divisors (see below), whose sum is σ = 24204948768000. Its totient is φ = 4104139891200.
The previous prime is 10302130212947. The next prime is 10302130213019. The reversal of 10302130213000 is 31203120301.
10302130213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×103021302130002 (a number of 27 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249770379 + ... + 249811621.
It is an arithmetic number, because the mean of its divisors is an integer number (189101162250).
Almost surely, 210302130213000 is an apocalyptic number.
10302130213000 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 10302130213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12102474384000).
10302130213000 is an abundant number, since it is smaller than the sum of its proper divisors (13902818555000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10302130213000 is a wasteful number, since it uses less digits than its factorization.
10302130213000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42272 (or 42258 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
Adding to 10302130213000 its reverse (31203120301), we get a palindrome (10333333333301).
The spelling of 10302130213000 in words is "ten trillion, three hundred two billion, one hundred thirty million, two hundred thirteen thousand".
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