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22113132001 = 9710110092237
BaseRepresentation
bin10100100110000010…
…111001110111100001
32010002002202111101221
4110212002321313201
5330241430211001
614054133055041
71411661343412
oct244602716741
963062674357
1022113132001
119418317404
124351787481
132115412abc
1410dabcd809
158965291a1
hex5260b9de1

22113132001 has 16 divisors (see below), whose sum is σ = 22594758480. Its totient is φ = 21637324800.

The previous prime is 22113131951. The next prime is 22113132011. The reversal of 22113132001 is 10023131122.

It can be written as a sum of positive squares in 8 ways, for example, as 2273000976 + 19840131025 = 47676^2 + 140855^2 .

It is a cyclic number.

It is not a de Polignac number, because 22113132001 - 215 = 22113099233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22113132011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9884055 + ... + 9886291.

It is an arithmetic number, because the mean of its divisors is an integer number (1412172405).

Almost surely, 222113132001 is an apocalyptic number.

It is an amenable number.

22113132001 is a deficient number, since it is larger than the sum of its proper divisors (481626479).

22113132001 is a wasteful number, since it uses less digits than its factorization.

22113132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22113132001 its reverse (10023131122), we get a palindrome (32136263123).

The spelling of 22113132001 in words is "twenty-two billion, one hundred thirteen million, one hundred thirty-two thousand, one".

Divisors: 1 97 101 1009 2237 9797 97873 101909 216989 225937 2257133 9885173 21915889 218941901 227970433 22113132001