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11122100001 = 327331685933
BaseRepresentation
bin10100101101110110…
…11100011100100001
31001201010012012221200
422112323130130201
5140234224200001
65035345111413
7542421201345
oct122673343441
931633165850
1011122100001
114798154391
1221a4928569
13108330837c
147771b5625
1545165c086
hex296edc721

11122100001 has 12 divisors (see below), whose sum is σ = 16087182228. Its totient is φ = 7404613344.

The previous prime is 11122099999. The next prime is 11122100029. The reversal of 11122100001 is 10000122111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7483115025 + 3638984976 = 86505^2 + 60324^2 .

It is not a de Polignac number, because 11122100001 - 21 = 11122099999 is a prime.

It is a super-2 number, since 2×111221000012 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11122100071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 836370 + ... + 849563.

It is an arithmetic number, because the mean of its divisors is an integer number (1340598519).

Almost surely, 211122100001 is an apocalyptic number.

It is an amenable number.

11122100001 is a deficient number, since it is larger than the sum of its proper divisors (4965082227).

11122100001 is a wasteful number, since it uses less digits than its factorization.

11122100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686672 (or 1686669 counting only the distinct ones).

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

Adding to 11122100001 its reverse (10000122111), we get a palindrome (21122222112).

The spelling of 11122100001 in words is "eleven billion, one hundred twenty-two million, one hundred thousand, one".

Divisors: 1 3 9 733 2199 6597 1685933 5057799 15173397 1235788889 3707366667 11122100001