Search a number
-
+
10233321320020 = 225539654076717
BaseRepresentation
bin1001010011101010000101…
…1110110110111001010100
31100020021222202110101020111
42110322201132312321110
52320130320224220040
633433042314412404
72104222146010021
oct224724136667124
940207882411214
1010233321320020
113295a22115127
121193352731104
13592cc8977cb6
1427541c7c4548
1512b2d38a5dea
hex94ea17b6e54

10233321320020 has 24 divisors (see below), whose sum is σ = 21895445996424. Its totient is φ = 4016095913856.

The previous prime is 10233321320011. The next prime is 10233321320029. The reversal of 10233321320020 is 2002312333201.

It is an interprime number because it is at equal distance from previous prime (10233321320011) and next prime (10233321320029).

It can be written as a sum of positive squares in 4 ways, for example, as 580543420356 + 9652777899664 = 761934^2 + 3106892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10233321319973 and 10233321320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233321320029) by changing a digit.

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, 4827037299 + ... + 4827039418.

It is an arithmetic number, because the mean of its divisors is an integer number (912310249851).

Almost surely, 210233321320020 is an apocalyptic number.

10233321320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233321320020 is an abundant number, since it is smaller than the sum of its proper divisors (11662124676404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10233321320020 is a wasteful number, since it uses less digits than its factorization.

10233321320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654076779 (or 9654076777 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10233321320020 its reverse (2002312333201), we get a palindrome (12235633653221).

The spelling of 10233321320020 in words is "ten trillion, two hundred thirty-three billion, three hundred twenty-one million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 9654076717 19308153434 38616306868 48270383585 96540767170 193081534340 511666066001 1023332132002 2046664264004 2558330330005 5116660660010 10233321320020