Base | Representation |
---|---|
bin | 1001000111011011101101… |
… | …1011010111000100000000 |
3 | 1022111012220020100010212220 |
4 | 2101312323123113010000 |
5 | 2303210211110311222 |
6 | 33152350353451040 |
7 | 2053105540365564 |
oct | 221667333270400 |
9 | 38435806303786 |
10 | 10023303213312 |
11 | 321494a3a20a4 |
12 | 115a6bbb70a80 |
13 | 579268c9bc3c |
14 | 2691b7dc96a4 |
15 | 125ae0b98b5c |
hex | 91dbb6d7100 |
10023303213312 has 144 divisors (see below), whose sum is σ = 27337203613440. Its totient is φ = 3258849918976.
The previous prime is 10023303213293. The next prime is 10023303213331. The reversal of 10023303213312 is 21331230332001.
It is an interprime number because it is at equal distance from previous prime (10023303213293) and next prime (10023303213331).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10102264 + ... + 11049992.
It is an arithmetic number, because the mean of its divisors is an integer number (189841691760).
Almost surely, 210023303213312 is an apocalyptic number.
10023303213312 is a gapful number since it is divisible by the number (12) 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 10023303213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668601806720).
10023303213312 is an abundant number, since it is smaller than the sum of its proper divisors (17313900400128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023303213312 is an equidigital number, since it uses as much as digits as its factorization.
10023303213312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 948088 (or 948074 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 24.
Adding to 10023303213312 its reverse (21331230332001), we get a palindrome (31354533545313).
The spelling of 10023303213312 in words is "ten trillion, twenty-three billion, three hundred three million, two hundred thirteen thousand, three hundred twelve".
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