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BaseRepresentation
bin10010110111110110…
…11100011000101010
3222011010121022210200
421123323130120222
5131222323302020
64353225053030
7506041440000
oct113373343052
928133538720
1010132244010
11432a429989
121b69327176
13c56210475
146c1948a70
153e47d1590
hex25bedc62a

10132244010 has 120 divisors (see below), whose sum is σ = 30733300260. Its totient is φ = 2315892096.

The previous prime is 10132243921. The next prime is 10132244029. The reversal of 10132244010 is 1044223101.

Adding to 10132244010 its reverse (1044223101), we get a palindrome (11176467111).

It can be written as a sum of positive squares in 2 ways, for example, as 10080360801 + 51883209 = 100401^2 + 7203^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 192646 + ... + 239534.

Almost surely, 210132244010 is an apocalyptic number.

10132244010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132244010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366650130).

10132244010 is an abundant number, since it is smaller than the sum of its proper divisors (20601056250).

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

10132244010 is an equidigital number, since it uses as much as digits as its factorization.

10132244010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46930 (or 46906 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10132244010 in words is "ten billion, one hundred thirty-two million, two hundred forty-four thousand, ten".