Search a number
-
+
11220122020100 = 2252719856398519
BaseRepresentation
bin1010001101000110001101…
…1000110010100100000100
31110201122002121001220011112
42203101203120302210010
52432312302214120400
635510241454224152
72235425040401060
oct243214330624404
943648077056145
1011220122020100
113636477410694
1213126501b5058
1363508c4a13a6
142ab0b1c22aa0
15146cdb44d835
hexa3463632904

11220122020100 has 144 divisors (see below), whose sum is σ = 29294141721600. Its totient is φ = 3643968021120.

The previous prime is 11220122020073. The next prime is 11220122020109. The reversal of 11220122020100 is 102022102211.

It is a super-2 number, since 2×112201220201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11220122020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113838641 + ... + 113937159.

Almost surely, 211220122020100 is an apocalyptic number.

11220122020100 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 11220122020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647070860800).

11220122020100 is an abundant number, since it is smaller than the sum of its proper divisors (18074019701500).

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

11220122020100 is a wasteful number, since it uses less digits than its factorization.

11220122020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107122 (or 107115 counting only the distinct ones).

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

Adding to 11220122020100 its reverse (102022102211), we get a palindrome (11322144122311).

The spelling of 11220122020100 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 8563 13300 17126 34252 42815 59941 85630 98519 119882 162697 171260 197038 214075 239764 299705 325394 394076 428150 492595 599410 650788 689633 813485 856300 985190 1138879 1198820 1379266 1498525 1626970 1871861 1970380 2277758 2462975 2758532 2997050 3253940 3448165 3743722 4067425 4555516 4925950 5694395 5994100 6896330 7487444 8134850 9359305 9851900 11388790 13103027 13792660 16269700 17240825 18718610 22777580 26206054 28471975 34481650 37437220 46796525 52412108 56943950 65515135 68963300 93593050 113887900 131030270 187186100 262060540 327575675 655151350 843618197 1310302700 1687236394 3374472788 4218090985 5905327379 8436181970 11810654758 16028745743 16872363940 21090454925 23621309516 29526636895 32057491486 42180909850 59053273790 64114982972 80143728715 84361819700 112201220201 118106547580 147633184475 160287457430 224402440402 295266368950 320574914860 400718643575 448804880804 561006101005 590532737900 801437287150 1122012202010 1602874574300 2244024404020 2805030505025 5610061010050 11220122020100