Search a number
-
+
221030102331300 = 223528310918136307
BaseRepresentation
bin110010010000011010010100…
…101110111110111110100100
31001222121021022212100212020110
4302100122110232332332210
5212432324122144100200
62102031454403333020
764361616661566333
oct6220322456767644
91058537285325213
10221030102331300
1164477381583329
1220959146081170
1396440841821b2
143c81cb216dd1a
151a8477827ab50
hexc90694bbefa4

221030102331300 has 144 divisors (see below), whose sum is σ = 647812061874432. Its totient is φ = 58177842422400.

The previous prime is 221030102331299. The next prime is 221030102331331. The reversal of 221030102331300 is 3133201030122.

It is a super-2 number, since 2×2210301023313002 (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 47 ways as a sum of consecutive naturals, for example, 23097747 + ... + 31234053.

It is an arithmetic number, because the mean of its divisors is an integer number (4498694874128).

Almost surely, 2221030102331300 is an apocalyptic number.

221030102331300 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 221030102331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323906030937216).

221030102331300 is an abundant number, since it is smaller than the sum of its proper divisors (426781959543132).

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

221030102331300 is a wasteful number, since it uses less digits than its factorization.

221030102331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137498 (or 8137491 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 221030102331300 its reverse (3133201030122), we get a palindrome (224163303361422).

The spelling of 221030102331300 in words is "two hundred twenty-one trillion, thirty billion, one hundred two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1091 1245 1660 2075 2182 2490 3273 4150 4364 4980 5455 6225 6546 8300 10910 12450 13092 16365 21820 24900 27275 32730 54550 65460 81825 90553 109100 163650 181106 271659 327300 362212 452765 543318 905530 1086636 1358295 1811060 2263825 2716590 4527650 5433180 6791475 8136307 9055300 13582950 16272614 24408921 27165900 32545228 40681535 48817842 81363070 97635684 122044605 162726140 203407675 244089210 406815350 488178420 610223025 675313481 813630700 1220446050 1350626962 2025940443 2440892100 2701253924 3376567405 4051880886 6753134810 8103761772 8876710937 10129702215 13506269620 16882837025 17753421874 20259404430 26630132811 33765674050 35506843748 40518808860 44383554685 50648511075 53260265622 67531348100 88767109370 101297022150 106520531244 133150664055 177534218740 202594044300 221917773425 266301328110 443835546850 532602656220 665753320275 736767007771 887671093700 1331506640550 1473534015542 2210301023313 2663013281100 2947068031084 3683835038855 4420602046626 7367670077710 8841204093252 11051505116565 14735340155420 18419175194275 22103010233130 36838350388550 44206020466260 55257525582825 73676700777100 110515051165650 221030102331300