Search a number
-
+
2301123102200 = 2352133617244691
BaseRepresentation
bin100001011111000101101…
…000000000010111111000
322010222121020002101021222
4201133011220000113320
5300200200003232300
64521042114051212
7325151655433016
oct41370550002770
98128536071258
102301123102200
118079a000141a
12311b81579b08
13138cc1c720a0
147d536c258b6
153ecce087785
hex217c5a005f8

2301123102200 has 96 divisors (see below), whose sum is σ = 5763274720560. Its totient is φ = 849407078400.

The previous prime is 2301123102191. The next prime is 2301123102209. The reversal of 2301123102200 is 22013211032.

It is an interprime number because it is at equal distance from previous prime (2301123102191) and next prime (2301123102209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301123102209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9281855 + ... + 9526545.

Almost surely, 22301123102200 is an apocalyptic number.

2301123102200 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 2301123102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881637360280).

2301123102200 is an abundant number, since it is smaller than the sum of its proper divisors (3462151618360).

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

2301123102200 is a wasteful number, since it uses less digits than its factorization.

2301123102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248337 (or 248328 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2301123102200 its reverse (22013211032), we get a palindrome (2323136313232).

The spelling of 2301123102200 in words is "two trillion, three hundred one billion, one hundred twenty-three million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 3617 7234 14468 18085 28936 36170 47021 72340 90425 94042 144680 180850 188084 235105 244691 361700 376168 470210 489382 723400 940420 978764 1175525 1223455 1880840 1957528 2351050 2446910 3180983 4702100 4893820 6117275 6361966 9404200 9787640 12234550 12723932 15904915 24469100 25447864 31809830 48938200 63619660 79524575 127239320 159049150 318098300 636196600 885047347 1770094694 3540189388 4425236735 7080378776 8850473470 11505615511 17700946940 22126183675 23011231022 35401893880 44252367350 46022462044 57528077555 88504734700 92044924088 115056155110 177009469400 230112310220 287640387775 460224620440 575280775550 1150561551100 2301123102200