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1100200112001 = 321138291304957
BaseRepresentation
bin10000000000101001000…
…010010110111110000001
310220011210211121111210100
4100000221002112332001
5121011202212041001
62201231442353013
7142325661436314
oct20005102267601
93804724544710
101100200112001
11394657310111
1215928695b769
137c9963a1543
143b36dcb897b
151d94332d586
hex10029096f81

1100200112001 has 24 divisors (see below), whose sum is σ = 1605176637480. Its totient is φ = 726098397696.

The previous prime is 1100200111963. The next prime is 1100200112023. The reversal of 1100200112001 is 1002110020011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70025861376 + 1030174250625 = 264624^2 + 1014975^2 .

It is not a de Polignac number, because 1100200112001 - 222 = 1100195917697 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 (1100200112051) 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, 190615 + ... + 1495571.

It is an arithmetic number, because the mean of its divisors is an integer number (66882359895).

Almost surely, 21100200112001 is an apocalyptic number.

It is an amenable number.

1100200112001 is a deficient number, since it is larger than the sum of its proper divisors (504976525479).

1100200112001 is a wasteful number, since it uses less digits than its factorization.

1100200112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305905 (or 1305902 counting only the distinct ones).

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

Adding to 1100200112001 its reverse (1002110020011), we get a palindrome (2102310132012).

It can be divided in two parts, 1100200 and 112001, that added together give a square (1212201 = 11012).

The spelling of 1100200112001 in words is "one trillion, one hundred billion, two hundred million, one hundred twelve thousand, one".

Divisors: 1 3 9 113 339 829 1017 2487 7461 93677 281031 843093 1304957 3914871 11744613 147460141 442380423 1081809353 1327141269 3245428059 9736284177 122244456889 366733370667 1100200112001