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12220000100001 = 323736696696997
BaseRepresentation
bin1011000111010011000011…
…0000111101111010100001
31121021012221211002010201100
42301310300300331322201
53100203030011200001
641553442431425013
72400602665010661
oct261646060757241
947235854063640
1012220000100001
113991522533171
121454399385169
136a8458420055
14303645db01a1
15162d0c130586
hexb1d30c3dea1

12220000100001 has 12 divisors (see below), whose sum is σ = 18128168317012. Its totient is φ = 7926486551136.

The previous prime is 12220000099973. The next prime is 12220000100041. The reversal of 12220000100001 is 10000100002221.

12220000100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8677413605025 + 3542586494976 = 2945745^2 + 1882176^2 .

It is not a de Polignac number, because 12220000100001 - 213 = 12220000091809 is a prime.

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

It is a Duffinian number.

12220000100001 is a modest number, since divided by 100001 gives 1222 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12220000100041) 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, 18348348166 + ... + 18348348831.

Almost surely, 212220000100001 is an apocalyptic number.

It is an amenable number.

12220000100001 is a deficient number, since it is larger than the sum of its proper divisors (5908168217011).

12220000100001 is a wasteful number, since it uses less digits than its factorization.

12220000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36696697040 (or 36696697037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12220000100001 its reverse (10000100002221), we get a palindrome (22220100102222).

The spelling of 12220000100001 in words is "twelve trillion, two hundred twenty billion, one hundred thousand, one".

Divisors: 1 3 9 37 111 333 36696696997 110090090991 330270272973 1357777788889 4073333366667 12220000100001