Search a number
-
+
10310443230340 = 2251119101167146239
BaseRepresentation
bin1001011000001001011001…
…0011100110010010000100
31100111200001111221100102101
42112002112103212102010
52322411241431332330
633532315140521444
72112622252304431
oct226022623462204
940450044840371
1010310443230340
1133156a84578a0
1211a62966b0284
1359a369740b66
1427905720cb88
1512d2e93624ca
hex960964e6484

10310443230340 has 192 divisors, whose sum is σ = 25260163891200. Its totient is φ = 3495673152000.

The previous prime is 10310443230301. The next prime is 10310443230341. The reversal of 10310443230340 is 4303234401301.

It is a junction number, because it is equal to n+sod(n) for n = 10310443230299 and 10310443230308.

It is not an unprimeable number, because it can be changed into a prime (10310443230341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 70430941 + ... + 70577179.

It is an arithmetic number, because the mean of its divisors is an integer number (131563353600).

Almost surely, 210310443230340 is an apocalyptic number.

10310443230340 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 10310443230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630081945600).

10310443230340 is an abundant number, since it is smaller than the sum of its proper divisors (14949720660860).

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

10310443230340 is a wasteful number, since it uses less digits than its factorization.

10310443230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146546 (or 146544 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10310443230340 its reverse (4303234401301), we get a palindrome (14613677631641).

The spelling of 10310443230340 in words is "ten trillion, three hundred ten billion, four hundred forty-three million, two hundred thirty thousand, three hundred forty".