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22101011101 = 137092397853
BaseRepresentation
bin10100100101010100…
…101010101010011101
32010001020221200122201
4110211110222222131
5330230324323401
614053021211501
71411453331461
oct244524525235
963036850581
1022101011101
119411498834
124349700b91
132112a5aa80
1410d93564a1
15895432b01
hex52552aa9d

22101011101 has 8 divisors (see below), whose sum is σ = 23834668760. Its totient is φ = 20372150592.

The previous prime is 22101011083. The next prime is 22101011117. The reversal of 22101011101 is 10111010122.

It can be written as a sum of positive squares in 4 ways, for example, as 11323225 + 22089687876 = 3365^2 + 148626^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22101011101 - 213 = 22101002909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101011161) 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 7 ways as a sum of consecutive naturals, for example, 1189710 + ... + 1208143.

It is an arithmetic number, because the mean of its divisors is an integer number (2979333595).

Almost surely, 222101011101 is an apocalyptic number.

It is an amenable number.

22101011101 is a deficient number, since it is larger than the sum of its proper divisors (1733657659).

22101011101 is a wasteful number, since it uses less digits than its factorization.

22101011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398575.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 22101011101 its reverse (10111010122), we get a palindrome (32212021223).

The spelling of 22101011101 in words is "twenty-two billion, one hundred one million, eleven thousand, one hundred one".

Divisors: 1 13 709 9217 2397853 31172089 1700077777 22101011101