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11221202020100 = 22522379101611453
BaseRepresentation
bin1010001101001010001111…
…0000101010011100000100
31110201201212212021120122112
42203102203300222130010
52432322010204120400
635510540554320152
72235463563265112
oct243224360523404
943651785246575
1011221202020100
113636981005676
1213128b1a29058
1363520216b947
142ab175436ab2
15146d51183835
hexa34a3c2a704

11221202020100 has 144 divisors (see below), whose sum is σ = 25985131845120. Its totient is φ = 4197006528000.

The previous prime is 11221202020081. The next prime is 11221202020129. The reversal of 11221202020100 is 102020212211.

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, 18045974 + ... + 18657426.

It is an arithmetic number, because the mean of its divisors is an integer number (180452304480).

Almost surely, 211221202020100 is an apocalyptic number.

11221202020100 is a gapful number since it is divisible by the number (10) 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 11221202020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12992565922560).

11221202020100 is an abundant number, since it is smaller than the sum of its proper divisors (14763929825020).

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

11221202020100 is a wasteful number, since it uses less digits than its factorization.

11221202020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611670 (or 611663 counting only the distinct ones).

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

Adding to 11221202020100 its reverse (102020212211), we get a palindrome (11323222232311).

It can be divided in two parts, 112 and 21202020100, that added together give a palindrome (21202020212).

The spelling of 11221202020100 in words is "eleven trillion, two hundred twenty-one billion, two hundred two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 79 92 100 101 115 158 202 230 316 395 404 460 505 575 790 1010 1150 1580 1817 1975 2020 2300 2323 2525 3634 3950 4646 5050 7268 7900 7979 9085 9292 10100 11615 15958 18170 23230 31916 36340 39895 45425 46460 58075 79790 90850 116150 159580 181700 183517 199475 232300 367034 398950 611453 734068 797900 917585 1222906 1835170 2445812 3057265 3670340 4587925 6114530 9175850 12229060 14063419 15286325 18351700 28126838 30572650 48304787 56253676 61145300 61756753 70317095 96609574 123513506 140634190 193219148 241523935 247027012 281268380 308783765 351585475 483047870 617567530 703170950 966095740 1111010101 1207619675 1235135060 1406341900 1420405319 1543918825 2222020202 2415239350 2840810638 3087837650 4444040404 4830478700 4878783487 5555050505 5681621276 6175675300 7102026595 9757566974 11110101010 14204053190 19515133948 22220202020 24393917435 27775252525 28408106380 35510132975 48787834870 55550505050 71020265950 97575669740 111101010100 112212020201 121969587175 142040531900 224424040402 243939174350 448848080804 487878348700 561060101005 1122120202010 2244240404020 2805300505025 5610601010050 11221202020100