Search a number
-
+
222101311001101 = 72191234710111337
BaseRepresentation
bin110010011111111111111101…
…101111110001001000001101
31002010101200022020110111212021
4302133333331233301020031
5213102401441104013401
62104211533403010141
764532201351212600
oct6237777557611015
91063350266414767
10222101311001101
116484a700988854
1220ab087b809951
1396c10aa103abc
143cbba91938337
151aa25712a22a1
hexc9fffdbf120d

222101311001101 has 24 divisors (see below), whose sum is σ = 259826118253056. Its totient is φ = 189295130162880.

The previous prime is 222101311001093. The next prime is 222101311001161. The reversal of 222101311001101 is 101100113101222.

It is a happy number.

It is not a de Polignac number, because 222101311001101 - 23 = 222101311001093 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 (222101311001161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16909905 + ... + 27021241.

It is an arithmetic number, because the mean of its divisors is an integer number (10826088260544).

Almost surely, 2222101311001101 is an apocalyptic number.

It is an amenable number.

222101311001101 is a deficient number, since it is larger than the sum of its proper divisors (37724807251955).

222101311001101 is a wasteful number, since it uses less digits than its factorization.

222101311001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113889 (or 10113882 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 222101311001101 its reverse (101100113101222), we get a palindrome (323201424102323).

It can be divided in two parts, 22210131 and 1001101, that added together give a palindrome (23211232).

The spelling of 222101311001101 in words is "two hundred twenty-two trillion, one hundred one billion, three hundred eleven million, one thousand, one hundred one".

Divisors: 1 7 49 191 1337 2347 9359 16429 115003 448277 3137939 10111337 21965573 70779359 495455513 1931265367 13518857569 23731307939 94632002983 166119155573 1162834089011 4532679816349 31728758714443 222101311001101