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10330223020 = 22513216371867
BaseRepresentation
bin10011001111011101…
…01011000110101100
3222122221010200221121
421213232223012230
5132124014114040
64425020310324
7513664306165
oct114756530654
928587120847
1010330223020
1144211614a7
1220036a23a4
13c8823a900
146ddd6276c
15406d8bc4a
hex267bab1ac

10330223020 has 72 divisors (see below), whose sum is σ = 23517499824. Its totient is φ = 3809864448.

The previous prime is 10330223003. The next prime is 10330223027. The reversal of 10330223020 is 2032203301.

It is a junction number, because it is equal to n+sod(n) for n = 10330222985 and 10330223003.

It is not an unprimeable number, because it can be changed into a prime (10330223027) 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 23 ways as a sum of consecutive naturals, for example, 5532127 + ... + 5533993.

It is an arithmetic number, because the mean of its divisors is an integer number (326631942).

Almost surely, 210330223020 is an apocalyptic number.

10330223020 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 10330223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758749912).

10330223020 is an abundant number, since it is smaller than the sum of its proper divisors (13187276804).

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

10330223020 is a wasteful number, since it uses less digits than its factorization.

10330223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10330223020 its reverse (2032203301), we get a palindrome (12362426321).

The spelling of 10330223020 in words is "ten billion, three hundred thirty million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1637 1690 1867 3274 3380 3734 6548 7468 8185 9335 16370 18670 21281 24271 32740 37340 42562 48542 85124 97084 106405 121355 212810 242710 276653 315523 425620 485420 553306 631046 1106612 1262092 1383265 1577615 2766530 3056279 3155230 5533060 6112558 6310460 12225116 15281395 30562790 39731627 61125580 79463254 158926508 198658135 397316270 516511151 794632540 1033022302 2066044604 2582555755 5165111510 10330223020