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1220111000001 = 323723315725309
BaseRepresentation
bin10001110000010100010…
…010000110000111000001
311022122022122002202121100
4101300110102012013001
5124442241404000001
62332302233045013
7154102326245055
oct21602422060701
94278278082540
101220111000001
1143049a940053
12178570856769
138b095c87bca
14430a7465c65
1521b10580586
hex11c144861c1

1220111000001 has 24 divisors (see below), whose sum is σ = 1817782934760. Its totient is φ = 788026634496.

The previous prime is 1220110999993. The next prime is 1220111000021. The reversal of 1220111000001 is 1000001110221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 328174308225 + 891936691776 = 572865^2 + 944424^2 .

It is not a de Polignac number, because 1220111000001 - 23 = 1220110999993 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 (1220111000021) 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, 7785066 + ... + 7940243.

It is an arithmetic number, because the mean of its divisors is an integer number (75740955615).

Almost surely, 21220111000001 is an apocalyptic number.

It is an amenable number.

1220111000001 is a deficient number, since it is larger than the sum of its proper divisors (597671934759).

1220111000001 is a wasteful number, since it uses less digits than its factorization.

1220111000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15725585 (or 15725582 counting only the distinct ones).

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

Adding to 1220111000001 its reverse (1000001110221), we get a palindrome (2220112110222).

The spelling of 1220111000001 in words is "one trillion, two hundred twenty billion, one hundred eleven million, one", and thus it is an aban number.

Divisors: 1 3 9 37 111 233 333 699 2097 8621 25863 77589 15725309 47175927 141527781 581836433 1745509299 3663996997 5236527897 10991990991 32975972973 135567888889 406703666667 1220111000001