Search a number
-
+
10321123340 = 22511210142227
BaseRepresentation
bin10011001110010111…
…11101100000001100
3222122022000101112102
421213023331200030
5132114201421330
64424053254232
7513524046413
oct114713754014
928568011472
1010321123340
114417006800
122000634378
13c863a2a98
146dca7447a
15406190945
hex2672fd80c

10321123340 has 72 divisors (see below), whose sum is σ = 24060332016. Its totient is φ = 3715888000.

The previous prime is 10321123313. The next prime is 10321123357. The reversal of 10321123340 is 4332112301.

10321123340 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 (20).

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, 223307 + ... + 265533.

It is an arithmetic number, because the mean of its divisors is an integer number (334171278).

Almost surely, 210321123340 is an apocalyptic number.

10321123340 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 10321123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030166008).

10321123340 is an abundant number, since it is smaller than the sum of its proper divisors (13739208676).

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

10321123340 is a wasteful number, since it uses less digits than its factorization.

10321123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42359 (or 42346 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10321123340 its reverse (4332112301), we get a palindrome (14653235641).

The spelling of 10321123340 in words is "ten billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 42227 48884 61105 84454 122210 168908 211135 244420 422270 464497 844540 928994 1857988 2322485 4264927 4644970 5109467 8529854 9289940 10218934 17059708 20437868 21324635 25547335 42649270 46914197 51094670 85298540 93828394 102189340 187656788 234570985 469141970 516056167 938283940 1032112334 2064224668 2580280835 5160561670 10321123340