Search a number
-
+
200211200201120 = 25510786313551077
BaseRepresentation
bin101101100001011101001101…
…011101111101000110100000
3222020220000002210001220121112
4231201131031131331012200
5202220230014222413440
61545451431114442452
760112532116360223
oct5541351535750640
9866800083056545
10200211200201120
1158880103022409
121a556331a33428
138793ab1b303a4
1437623b940b5ba
151822e4594b965
hexb6174d77d1a0

200211200201120 has 96 divisors (see below), whose sum is σ = 477972755947008. Its totient is φ = 79244090641408.

The previous prime is 200211200201087. The next prime is 200211200201123. The reversal of 200211200201120 is 21102002112002.

It is a junction number, because it is equal to n+sod(n) for n = 200211200201095 and 200211200201104.

It is not an unprimeable number, because it can be changed into a prime (200211200201123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7999022 + ... + 21550098.

It is an arithmetic number, because the mean of its divisors is an integer number (4978882874448).

Almost surely, 2200211200201120 is an apocalyptic number.

200211200201120 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 200211200201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238986377973504).

200211200201120 is an abundant number, since it is smaller than the sum of its proper divisors (277761555745888).

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

200211200201120 is a wasteful number, since it uses less digits than its factorization.

200211200201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13552062 (or 13552054 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200211200201120 its reverse (21102002112002), we get a palindrome (221313202313122).

The spelling of 200211200201120 in words is "two hundred trillion, two hundred eleven billion, two hundred million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 863 1070 1712 1726 2140 3424 3452 4280 4315 6904 8560 8630 13808 17120 17260 27616 34520 69040 92341 138080 184682 369364 461705 738728 923410 1477456 1846820 2954912 3693640 7387280 13551077 14774560 27102154 54204308 67755385 108408616 135510770 216817232 271021540 433634464 542043080 1084086160 1449965239 2168172320 2899930478 5799860956 7249826195 11599721912 11694579451 14499652390 23199443824 23389158902 28999304780 46398887648 46778317804 57998609560 58472897255 93556635608 115997219120 116945794510 187113271216 231994438240 233891589020 374226542432 467783178040 935566356080 1251320001257 1871132712160 2502640002514 5005280005028 6256600006285 10010560010056 12513200012570 20021120020112 25026400025140 40042240040224 50052800050280 100105600100560 200211200201120