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1001222220020 = 2251122320408117
BaseRepresentation
bin11101001000111010111…
…11101010100011110100
310112201022220020122011012
432210131133222203310
5112401000342020040
62043542150531352
7132223135310501
oct16443537524364
93481286218135
101001222220020
11356685928990
12142063366b58
137355156ca59
14366608bc4a8
151b09dbe0865
hexe91d7ea8f4

1001222220020 has 48 divisors (see below), whose sum is σ = 2303994889728. Its totient is φ = 362448140160.

The previous prime is 1001222220017. The next prime is 1001222220067. The reversal of 1001222220020 is 200222221001.

It is a super-3 number, since 3×10012222200203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001222219977 and 1001222220004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10154999 + ... + 10253118.

It is an arithmetic number, because the mean of its divisors is an integer number (47999893536).

Almost surely, 21001222220020 is an apocalyptic number.

1001222220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001222220020 is an abundant number, since it is smaller than the sum of its proper divisors (1302772669708).

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

1001222220020 is a wasteful number, since it uses less digits than its factorization.

1001222220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20408360 (or 20408358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1001222220020 its reverse (200222221001), we get a palindrome (1201444441021).

The spelling of 1001222220020 in words is "one trillion, one billion, two hundred twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1115 2230 2453 4460 4906 9812 12265 24530 49060 20408117 40816234 81632468 102040585 204081170 224489287 408162340 448978574 897957148 1122446435 2244892870 4489785740 4551010091 9102020182 18204040364 22755050455 45510100910 50061111001 91020201820 100122222002 200244444004 250305555005 500611110010 1001222220020