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11102001220 = 2256126933829
BaseRepresentation
bin10100101011011101…
…10001100001000100
31001122201101002121101
422111232301201010
5140214103014340
65033350225444
7542055311332
oct122556614104
931581332541
1011102001220
114787876922
12219a055284
13107c0bbcbb
14774662b52
1544e9dbc9a
hex295bb1844

11102001220 has 48 divisors (see below), whose sum is σ = 23785196400. Its totient is φ = 4351633920.

The previous prime is 11102001217. The next prime is 11102001227. The reversal of 11102001220 is 2210020111.

It can be written as a sum of positive squares in 8 ways, for example, as 2727555076 + 8374446144 = 52226^2 + 91512^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11102001197 and 11102001206.

It is not an unprimeable number, because it can be changed into a prime (11102001227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311266 + ... + 345094.

It is an arithmetic number, because the mean of its divisors is an integer number (495524925).

Almost surely, 211102001220 is an apocalyptic number.

11102001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102001220 is an abundant number, since it is smaller than the sum of its proper divisors (12683195180).

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

11102001220 is a wasteful number, since it uses less digits than its factorization.

11102001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34168 (or 34166 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11102001220 its reverse (2210020111), we get a palindrome (13312021331).

The spelling of 11102001220 in words is "eleven billion, one hundred two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 269 305 538 610 1076 1220 1345 2690 5380 16409 32818 33829 65636 67658 82045 135316 164090 169145 328180 338290 676580 2063569 4127138 8254276 9100001 10317845 18200002 20635690 36400004 41271380 45500005 91000010 182000020 555100061 1110200122 2220400244 2775500305 5551000610 11102001220