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10333231220 = 22513210130269
BaseRepresentation
bin10011001111110100…
…01001100001110100
3222200010210112102102
421213322021201310
5132130301344340
64425205001232
7514032005354
oct114772114164
928603715372
1010333231220
114422926614
1220046b3218
13c88a51c00
14700506b64
15407283215
hex267e89874

10333231220 has 72 divisors (see below), whose sum is σ = 23730832440. Its totient is φ = 3777446400.

The previous prime is 10333231211. The next prime is 10333231241. The reversal of 10333231220 is 2213233301.

10333231220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1441872784 + 8891358436 = 37972^2 + 94294^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10333231192 and 10333231201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326246 + ... + 356514.

It is an arithmetic number, because the mean of its divisors is an integer number (329594895).

Almost surely, 210333231220 is an apocalyptic number.

10333231220 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 10333231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11865416220).

10333231220 is an abundant number, since it is smaller than the sum of its proper divisors (13397601220).

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

10333231220 is a wasteful number, since it uses less digits than its factorization.

10333231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30405 (or 30390 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10333231220 its reverse (2213233301), we get a palindrome (12546464521).

The spelling of 10333231220 in words is "ten billion, three hundred thirty-three million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 169 202 260 338 404 505 676 845 1010 1313 1690 2020 2626 3380 5252 6565 13130 17069 26260 30269 34138 60538 68276 85345 121076 151345 170690 302690 341380 393497 605380 786994 1573988 1967485 3057169 3934970 5115461 6114338 7869940 10230922 12228676 15285845 20461844 25577305 30571690 39743197 51154610 61143380 79486394 102309220 158972788 198715985 397431970 516661561 794863940 1033323122 2066646244 2583307805 5166615610 10333231220