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2181130512 = 2431121272957
BaseRepresentation
bin1000001000000001…
…0110100100010000
312122000011220120120
42002000112210100
513431332134022
61000233110240
7105023206041
oct20200264420
95560156516
102181130512
11a1a211700
1250a558380
13289b55992
141699688c8
15cb740d5c
hex82016910

2181130512 has 120 divisors (see below), whose sum is σ = 6244267008. Its totient is φ = 655522560.

The previous prime is 2181130499. The next prime is 2181130537. The reversal of 2181130512 is 2150311812.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736138 + ... + 739094.

Almost surely, 22181130512 is an apocalyptic number.

2181130512 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 2181130512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122133504).

2181130512 is an abundant number, since it is smaller than the sum of its proper divisors (4063136496).

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

2181130512 is a wasteful number, since it uses less digits than its factorization.

2181130512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 2181130512 is about 46702.5750039545. The cubic root of 2181130512 is about 1296.8623566364.

The spelling of 2181130512 in words is "two billion, one hundred eighty-one million, one hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 127 132 176 242 254 264 363 381 484 508 528 726 762 968 1016 1397 1452 1524 1936 2032 2794 2904 2957 3048 4191 5588 5808 5914 6096 8382 8871 11176 11828 15367 16764 17742 22352 23656 30734 32527 33528 35484 46101 47312 61468 65054 67056 70968 92202 97581 122936 130108 141936 184404 195162 245872 260216 357797 368808 375539 390324 520432 715594 737616 751078 780648 1073391 1126617 1431188 1502156 1561296 2146782 2253234 2862376 3004312 4130929 4293564 4506468 5724752 6008624 8261858 8587128 9012936 12392787 16523716 17174256 18025872 24785574 33047432 45440219 49571148 66094864 90880438 99142296 136320657 181760876 198284592 272641314 363521752 545282628 727043504 1090565256 2181130512