Search a number
-
+
2134322245132 = 2271171223943591
BaseRepresentation
bin11111000011101111100…
…001001110111000001100
321120001001120211220020221
4133003233201032320030
5234432042443321012
64312254420521124
7310125331515130
oct37035741167014
97501046756227
102134322245132
117531852a1730
122a57902501a4
1312635ba466ac
1475431dd33c0
153a7ba51b507
hex1f0ef84ee0c

2134322245132 has 96 divisors (see below), whose sum is σ = 4724507934720. Its totient is φ = 819457128000.

The previous prime is 2134322245057. The next prime is 2134322245163. The reversal of 2134322245132 is 2315422234312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48940657 + ... + 48984247.

It is an arithmetic number, because the mean of its divisors is an integer number (49213624320).

Almost surely, 22134322245132 is an apocalyptic number.

2134322245132 is a gapful number since it is divisible by the number (22) 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 2134322245132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362253967360).

2134322245132 is an abundant number, since it is smaller than the sum of its proper divisors (2590185689588).

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

2134322245132 is a wasteful number, since it uses less digits than its factorization.

2134322245132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45923 (or 45921 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

Adding to 2134322245132 its reverse (2315422234312), we get a palindrome (4449744479444).

The spelling of 2134322245132 in words is "two trillion, one hundred thirty-four billion, three hundred twenty-two million, two hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 497 781 994 1562 1988 2239 3124 4478 5467 8956 10934 15673 21868 24629 31346 43591 49258 62692 87182 98516 158969 172403 174364 305137 317938 344806 479501 610274 635876 689612 959002 1112783 1220548 1748659 1918004 2225566 3094961 3356507 3497318 4451132 6189922 6713014 6994636 12240613 12379844 13426028 21664727 24481226 34044571 43329454 48962452 68089142 86658908 97600249 136178284 195200498 238311997 390400996 476623994 683201743 953247988 1073602739 1366403486 2147205478 2732806972 4294410956 6929617679 7515219173 13859235358 15030438346 27718470716 30060876692 48507323753 76225794469 97014647506 152451588938 194029295012 304903177876 533580561283 1067161122566 2134322245132