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11220001122020 = 22523971012489671
BaseRepresentation
bin1010001101000101110000…
…1011100110011011100100
31110201121210011120122011212
42203101130023212123210
52432312030241401040
635510221455050552
72235422041646405
oct243213413463344
943647704518155
1011220001122020
113636415146119
121312617810a58
13635070421772
142ab09db519ac
15146cd0a1bd65
hexa345c2e66e4

11220001122020 has 96 divisors (see below), whose sum is σ = 25085855402496. Its totient is φ = 4206546432000.

The previous prime is 11220001122019. The next prime is 11220001122041. The reversal of 11220001122020 is 2022110002211.

It is a junction number, because it is equal to n+sod(n) for n = 11220001121986 and 11220001122004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3261785 + ... + 5751455.

It is an arithmetic number, because the mean of its divisors is an integer number (261310993776).

Almost surely, 211220001122020 is an apocalyptic number.

11220001122020 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 11220001122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542927701248).

11220001122020 is an abundant number, since it is smaller than the sum of its proper divisors (13865854280476).

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

11220001122020 is a wasteful number, since it uses less digits than its factorization.

11220001122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489901 (or 2489899 counting only the distinct ones).

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

Adding to 11220001122020 its reverse (2022110002211), we get a palindrome (13242111124231).

The spelling of 11220001122020 in words is "eleven trillion, two hundred twenty billion, one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 101 115 194 202 230 388 404 460 485 505 970 1010 1940 2020 2231 2323 4462 4646 8924 9292 9797 11155 11615 19594 22310 23230 39188 44620 46460 48985 97970 195940 225331 450662 901324 1126655 2253310 2489671 4506620 4979342 9958684 12448355 24896710 49793420 57262433 114524866 229049732 241498087 251456771 286312165 482996174 502913542 572624330 965992348 1005827084 1145248660 1207490435 1257283855 2414980870 2514567710 4829961740 5029135420 5554456001 5783505733 11108912002 11567011466 22217824004 23134022932 24391306787 27772280005 28917528665 48782613574 55544560010 57835057330 97565227148 111089120020 115670114660 121956533935 243913067870 487826135740 561000056101 1122000112202 2244000224404 2805000280505 5610000561010 11220001122020