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10041342332 = 2271738355079
BaseRepresentation
bin10010101101000001…
…01011100101111100
3221220210120001010212
421112200223211330
5131031040423312
64340220451552
7503556000350
oct112640534574
927823501125
1010041342332
11429309212a
121b429a9bb8
13c40433ca8
146b3845460
153db827822
hex25682b97c

10041342332 has 48 divisors (see below), whose sum is σ = 21319925760. Its totient is φ = 4039640832.

The previous prime is 10041342313. The next prime is 10041342359. The reversal of 10041342332 is 23324314001.

10041342332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10041342298 and 10041342307.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 154769 + ... + 209847.

It is an arithmetic number, because the mean of its divisors is an integer number (444165120).

Almost surely, 210041342332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041342332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659962880).

10041342332 is an abundant number, since it is smaller than the sum of its proper divisors (11278583428).

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

10041342332 is a wasteful number, since it uses less digits than its factorization.

10041342332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55490 (or 55488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10041342332 its reverse (23324314001), we get a palindrome (33365656333).

The spelling of 10041342332 in words is "ten billion, forty-one million, three hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 383 476 766 1532 2681 5362 6511 10724 13022 26044 45577 55079 91154 110158 182308 220316 385553 771106 936343 1542212 1872686 3745372 6554401 13108802 21095257 26217604 42190514 84381028 147666799 295333598 358619369 590667196 717238738 1434477476 2510335583 5020671166 10041342332