Search a number
-
+
2110315332 = 2231719673809
BaseRepresentation
bin111110111001000…
…1101101101000100
312110001221010102010
41331302031231010
513310220042312
6545223214220
7103203245556
oct17562155504
95401833363
102110315332
11993244164
124aa8a7370
132782900c8
141603b34d6
15c540393c
hex7dc8db44

2110315332 has 96 divisors (see below), whose sum is σ = 5503075200. Its totient is φ = 625508352.

The previous prime is 2110315331. The next prime is 2110315367. The reversal of 2110315332 is 2335130112.

It is a junction number, because it is equal to n+sod(n) for n = 2110315299 and 2110315308.

It is not an unprimeable number, because it can be changed into a prime (2110315331) 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 31 ways as a sum of consecutive naturals, for example, 2608144 + ... + 2608952.

It is an arithmetic number, because the mean of its divisors is an integer number (57323700).

Almost surely, 22110315332 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 2110315332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751537600).

2110315332 is an abundant number, since it is smaller than the sum of its proper divisors (3392759868).

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

2110315332 is a wasteful number, since it uses less digits than its factorization.

2110315332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2110315332 is about 45938.1685747266. The cubic root of 2110315332 is about 1282.6725029678.

Adding to 2110315332 its reverse (2335130112), we get a palindrome (4445445444).

The spelling of 2110315332 in words is "two billion, one hundred ten million, three hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 673 809 969 1292 1346 1618 1938 2019 2427 2692 3236 3876 4038 4854 8076 9708 11441 12787 13753 15371 22882 25574 27506 30742 34323 38361 41259 45764 46113 51148 55012 61484 68646 76722 82518 92226 137292 153444 165036 184452 217379 261307 434758 522614 544457 652137 783921 869516 1045228 1088914 1304274 1567842 1633371 2177828 2608548 3135684 3266742 6533484 9255769 10344683 18511538 20689366 27767307 31034049 37023076 41378732 55534614 62068098 111069228 124136196 175859611 351719222 527578833 703438444 1055157666 2110315332