Search a number
-
+
202111110012200 = 235231141732300047
BaseRepresentation
bin101101111101000110101000…
…111010101101110100101000
3222111121122002202120100101112
4231331012220322231310220
5202442342023130342300
61553504321231405452
760400021501326314
oct5575065072556450
9874548082510345
10202111110012200
11594429276378a4
121a8025a1983888
1388a0cc3c980ac
1437ca330c80b44
151857591826e35
hexb7d1a8eadd28

202111110012200 has 96 divisors (see below), whose sum is σ = 485101099637760. Its totient is φ = 78231004588800.

The previous prime is 202111110012197. The next prime is 202111110012271. The reversal of 202111110012200 is 2210011111202.

It is a super-2 number, since 2×2021111100122002 (a number of 29 digits) contains 22 as substring.

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, 86722577 + ... + 89022623.

It is an arithmetic number, because the mean of its divisors is an integer number (5053136454560).

Almost surely, 2202111110012200 is an apocalyptic number.

202111110012200 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 202111110012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242550549818880).

202111110012200 is an abundant number, since it is smaller than the sum of its proper divisors (282989989625560).

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

202111110012200 is a wasteful number, since it uses less digits than its factorization.

202111110012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314267 (or 2314258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202111110012200 its reverse (2210011111202), we get a palindrome (204321121123402).

The spelling of 202111110012200 in words is "two hundred two trillion, one hundred eleven billion, one hundred ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 14173 28346 56692 70865 113384 141730 283460 354325 439363 566920 708650 878726 1417300 1757452 2196815 2300047 2834600 3514904 4393630 4600094 8787260 9200188 10984075 11500235 17574520 18400376 21968150 23000470 43936300 46000940 57501175 71301457 87872600 92001880 115002350 142602914 230004700 285205828 356507285 460009400 570411656 713014570 1426029140 1782536425 2852058280 3565072850 7130145700 14260291400 32598566131 65197132262 130394264524 162992830655 260788529048 325985661310 651971322620 814964153275 1010555550061 1303942645240 1629928306550 2021111100122 3259856613100 4042222200244 5052777750305 6519713226200 8084444400488 10105555500610 20211111001220 25263888751525 40422222002440 50527777503050 101055555006100 202111110012200