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10282071310 = 2572149140831
BaseRepresentation
bin10011001001101101…
…11111010100001110
3222112120112100012221
421210312333110032
5132024202240220
64420140245554
7512541110200
oct114466772416
928476470187
1010282071310
1143a6a633a5
121bab5408ba
13c7b27b884
146d77ca770
15402a299aa
hex264dbf50e

10282071310 has 48 divisors (see below), whose sum is σ = 21674044800. Its totient is φ = 3501597120.

The previous prime is 10282071287. The next prime is 10282071311. The reversal of 10282071310 is 1317028201.

It is a happy number.

It is a super-2 number, since 2×102820713102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10282071311) 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, 2595 + ... + 143425.

It is an arithmetic number, because the mean of its divisors is an integer number (451542600).

Almost surely, 210282071310 is an apocalyptic number.

10282071310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10282071310 is an abundant number, since it is smaller than the sum of its proper divisors (11391973490).

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

10282071310 is a wasteful number, since it uses less digits than its factorization.

10282071310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141001 (or 140994 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 10282071310 its reverse (1317028201), we get a palindrome (11599099511).

The spelling of 10282071310 in words is "ten billion, two hundred eighty-two million, seventy-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 149 245 298 490 745 1043 1490 2086 5215 7301 10430 14602 36505 73010 140831 281662 704155 985817 1408310 1971634 4929085 6900719 9858170 13801438 20983819 34503595 41967638 69007190 104919095 146886733 209838190 293773466 734433665 1028207131 1468867330 2056414262 5141035655 10282071310