Search a number
-
+
22112221011001 = 1173137201000091
BaseRepresentation
bin1010000011100011001110…
…00101000001110000111001
32220021220111200221101022121
411001301213011001300321
510344241312034323001
6115010114124521241
74441361310256102
oct501614705016071
986256450841277
1022112221011001
117055816329410
1225915b60b0221
13c45234221ca4
14566346c7b3a9
152852c9e286a1
hex141c67141c39

22112221011001 has 16 divisors (see below), whose sum is σ = 24631355274048. Its totient is φ = 19681928812800.

The previous prime is 22112221010989. The next prime is 22112221011007. The reversal of 22112221011001 is 10011012221122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22112221011001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22112221011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100390035 + ... + 100610056.

It is an arithmetic number, because the mean of its divisors is an integer number (1539459704628).

Almost surely, 222112221011001 is an apocalyptic number.

It is an amenable number.

22112221011001 is a deficient number, since it is larger than the sum of its proper divisors (2519134263047).

22112221011001 is a wasteful number, since it uses less digits than its factorization.

22112221011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201000312.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22112221011001 its reverse (10011012221122), we get a palindrome (32123233232123).

It can be divided in two parts, 2211222 and 1011001, that added together give a palindrome (3222223).

The spelling of 22112221011001 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, eleven thousand, one".

Divisors: 1 11 73 137 803 1507 10001 110011 201000091 2211001001 14673006643 27537012467 161403073073 302907137137 2010201910091 22112221011001