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1220011001001 = 321325013416881
BaseRepresentation
bin10001110000001110010…
…100101000010010101001
311022122001122221021202200
4101300032110220102221
5124442040304013001
62332244301450413
7154100003255562
oct21601624502251
94278048837680
101220011001001
1143044944a351
12178543270a09
138b07b3449c0
1443098075169
1521b068cb086
hex11c0e5284a9

1220011001001 has 24 divisors (see below), whose sum is σ = 1897875315336. Its totient is φ = 750744184320.

The previous prime is 1220011000987. The next prime is 1220011001021. The reversal of 1220011001001 is 1001001100221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 305499398400 + 914511602601 = 552720^2 + 956301^2 .

It is not a de Polignac number, because 1220011001001 - 211 = 1220010998953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1220011001021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718081 + ... + 3134961.

It is an arithmetic number, because the mean of its divisors is an integer number (79078138139).

Almost surely, 21220011001001 is an apocalyptic number.

It is an amenable number.

1220011001001 is a deficient number, since it is larger than the sum of its proper divisors (677864314335).

1220011001001 is a wasteful number, since it uses less digits than its factorization.

1220011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441913 (or 441910 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1220011001001 its reverse (1001001100221), we get a palindrome (2221012101222).

The spelling of 1220011001001 in words is "one trillion, two hundred twenty billion, eleven million, one thousand, one".

Divisors: 1 3 9 13 39 117 25013 75039 225117 325169 416881 975507 1250643 2926521 3751929 5419453 16258359 48775077 10427444453 31282333359 93847000077 135556777889 406670333667 1220011001001