Base | Representation |
---|---|
bin | 1001010011101101110100… |
… | …0101111010100010110000 |
3 | 1100020101120110022102201010 |
4 | 2110323131011322202300 |
5 | 2320134342240224240 |
6 | 33433325442110520 |
7 | 2104256011452603 |
oct | 224733505724260 |
9 | 40211513272633 |
10 | 10234321414320 |
11 | 32963956a2843 |
12 | 119359164b440 |
13 | 593127c19083 |
14 | 2754b555833a |
15 | 12b3415a5280 |
hex | 94edd17a8b0 |
10234321414320 has 160 divisors (see below), whose sum is σ = 31807289060352. Its totient is φ = 2722202407936.
The previous prime is 10234321414309. The next prime is 10234321414381. The reversal of 10234321414320 is 2341412343201.
10234321414320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
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, 157266109 + ... + 157331171.
Almost surely, 210234321414320 is an apocalyptic number.
10234321414320 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 10234321414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903644530176).
10234321414320 is an abundant number, since it is smaller than the sum of its proper divisors (21572967646032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10234321414320 is a wasteful number, since it uses less digits than its factorization.
10234321414320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66739 (or 66733 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 30.
Adding to 10234321414320 its reverse (2341412343201), we get a palindrome (12575733757521).
The spelling of 10234321414320 in words is "ten trillion, two hundred thirty-four billion, three hundred twenty-one million, four hundred fourteen thousand, three hundred twenty".
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