Search a number
-
+
2310321000020 = 22511291812000659
BaseRepresentation
bin100001100111101001110…
…111001100111001010100
322011212100020120000002012
4201213221313030321110
5300323014134000040
64525202525003352
7325625623324445
oct41475167147124
98155306500065
102310321000020
1181088aa7a170
123139099b3558
13139b29721887
147db6a6332cc
154016b805865
hex219e9dcce54

2310321000020 has 96 divisors (see below), whose sum is σ = 5505496214400. Its totient is φ = 806665305600.

The previous prime is 2310321000011. The next prime is 2310321000037. The reversal of 2310321000020 is 200001230132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2310320999959 and 2310321000004.

It is a congruent number.

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, 154451 + ... + 2155109.

It is an arithmetic number, because the mean of its divisors is an integer number (57348918900).

Almost surely, 22310321000020 is an apocalyptic number.

2310321000020 is a gapful number since it is divisible by the number (20) 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 2310321000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752748107200).

2310321000020 is an abundant number, since it is smaller than the sum of its proper divisors (3195175214380).

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

2310321000020 is a wasteful number, since it uses less digits than its factorization.

2310321000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000889 (or 2000887 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2310321000020 its reverse (200001230132), we get a palindrome (2510322230152).

The spelling of 2310321000020 in words is "two trillion, three hundred ten billion, three hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 181 220 290 319 362 580 638 724 905 1276 1595 1810 1991 3190 3620 3982 5249 6380 7964 9955 10498 19910 20996 26245 39820 52490 57739 104980 115478 230956 288695 577390 1154780 2000659 4001318 8002636 10003295 20006590 22007249 40013180 44014498 58019111 88028996 110036245 116038222 220072490 232076444 290095555 362119279 440144980 580191110 638210221 724238558 1160382220 1276420442 1448477116 1810596395 2552840884 3191051105 3621192790 3983312069 6382102210 7242385580 7966624138 10501459091 12764204420 15933248276 19916560345 21002918182 39833120690 42005836364 52507295455 79666241380 105014590910 115516050001 210029181820 231032100002 462064200004 577580250005 1155160500010 2310321000020