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11121200001 = 323733396997
BaseRepresentation
bin10100101101110000…
…00000101110000001
31001201001111111101100
422112320000232001
5140234011400001
65035313525013
7542410432422
oct122670005601
931631444340
1011121200001
11479769a18a
1221a4573769
131083081822
1477701d649
15451530586
hex296e00b81

11121200001 has 12 divisors (see below), whose sum is σ = 16498117012. Its totient is φ = 7213751136.

The previous prime is 11121199993. The next prime is 11121200003. The reversal of 11121200001 is 10000212111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6174187776 + 4947012225 = 78576^2 + 70335^2 .

It is not a de Polignac number, because 11121200001 - 23 = 11121199993 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16698166 + ... + 16698831.

Almost surely, 211121200001 is an apocalyptic number.

It is an amenable number.

11121200001 is a deficient number, since it is larger than the sum of its proper divisors (5376917011).

11121200001 is a wasteful number, since it uses less digits than its factorization.

11121200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33397040 (or 33397037 counting only the distinct ones).

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

Adding to 11121200001 its reverse (10000212111), we get a palindrome (21121412112).

The spelling of 11121200001 in words is "eleven billion, one hundred twenty-one million, two hundred thousand, one".

Divisors: 1 3 9 37 111 333 33396997 100190991 300572973 1235688889 3707066667 11121200001