Base | Representation |
---|---|
bin | 1001000111011000000001… |
… | …0011100110010101111000 |
3 | 1022111010100002220220011200 |
4 | 2101312000103212111320 |
5 | 2303201143144314000 |
6 | 33152104122054200 |
7 | 2053042134432234 |
oct | 221660023462570 |
9 | 38433302826150 |
10 | 10022311323000 |
11 | 3214490508239 |
12 | 115a48394a360 |
13 | 57913b6410b2 |
14 | 26912238d5c4 |
15 | 125a83a6a500 |
hex | 91d804e6578 |
10022311323000 has 384 divisors, whose sum is σ = 34936810272000. Its totient is φ = 2589482649600.
The previous prime is 10022311322999. The next prime is 10022311323001. The reversal of 10022311323000 is 32311322001.
10022311323000 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 231 + 132 + 300 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (10022311322999) and next prime (10022311323001).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022311323001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79524036 + ... + 79649964.
It is an arithmetic number, because the mean of its divisors is an integer number (90981276750).
Almost surely, 210022311323000 is an apocalyptic number.
10022311323000 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 10022311323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17468405136000).
10022311323000 is an abundant number, since it is smaller than the sum of its proper divisors (24914498949000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022311323000 is a wasteful number, since it uses less digits than its factorization.
10022311323000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126232 (or 126215 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10022311323000 its reverse (32311322001), we get a palindrome (10054622645001).
Subtracting from 10022311323000 its reverse (32311322001), we obtain a palindrome (9990000000999).
The spelling of 10022311323000 in words is "ten trillion, twenty-two billion, three hundred eleven million, three hundred twenty-three thousand".
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