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11330331223000 = 235323365997369
BaseRepresentation
bin1010010011100000110001…
…0111100010001111011000
31111010011120021010110222011
42210320030113202033120
52441114004243114000
640033025440035304
72246406112225366
oct244701427421730
944104507113864
1011330331223000
113679191659a59
12132ba89002b34
136425a412839a
142b2568b02636
15149adbabc2ba
hexa4e0c5e23d8

11330331223000 has 128 divisors (see below), whose sum is σ = 26634413520000. Its totient is φ = 4511385139200.

The previous prime is 11330331222967. The next prime is 11330331223103. The reversal of 11330331223000 is 32213303311.

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, 1537563316 + ... + 1537570684.

It is an arithmetic number, because the mean of its divisors is an integer number (208081355625).

Almost surely, 211330331223000 is an apocalyptic number.

11330331223000 is a gapful number since it is divisible by the number (10) 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 11330331223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317206760000).

11330331223000 is an abundant number, since it is smaller than the sum of its proper divisors (15304082297000).

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

11330331223000 is a wasteful number, since it uses less digits than its factorization.

11330331223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14222 (or 14208 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 11330331223000 its reverse (32213303311), we get a palindrome (11362544526311).

The spelling of 11330331223000 in words is "eleven trillion, three hundred thirty billion, three hundred thirty-one million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 932 1000 1165 1864 2330 4660 5825 6599 7369 9320 11650 13198 14738 23300 26396 29125 29476 32995 36845 46600 52792 58250 58952 65990 73690 116500 131980 147380 164975 184225 233000 263960 294760 329950 368450 659900 736900 824875 921125 1319800 1473800 1537567 1649750 1716977 1842250 3075134 3299500 3433954 3684500 6150268 6599000 6867908 7369000 7687835 8584885 12300536 13735816 15375670 17169770 30751340 34339540 38439175 42924425 48628031 61502680 68679080 76878350 85848850 97256062 153756700 171697700 192195875 194512124 214622125 243140155 307513400 343395400 384391750 389024248 429244250 486280310 768783500 858488500 972560620 1215700775 1537567000 1716977000 1945121240 2431401550 4862803100 6078503875 9725606200 11330331223 12157007750 22660662446 24314015500 45321324892 48628031000 56651656115 90642649784 113303312230 226606624460 283258280575 453213248920 566516561150 1133033122300 1416291402875 2266066244600 2832582805750 5665165611500 11330331223000