Search a number
-
+
22100221011201 = 337415982307189
BaseRepresentation
bin1010000011001100110111…
…10100101010010100000001
32220020202112101211020020120
411001212123310222110001
510344042223034324301
6115000411255130453
74440455036042664
oct501463364522401
986222471736216
1022100221011201
117050718677a03
12258b207373a29
13c4407108a5a8
1456592925d6db
15284d266a7e36
hex14199bd2a501

22100221011201 has 32 divisors (see below), whose sum is σ = 31526946057600. Its totient is φ = 13748592683520.

The previous prime is 22100221011199. The next prime is 22100221011259. The reversal of 22100221011201 is 10211012200122.

It is not a de Polignac number, because 22100221011201 - 21 = 22100221011199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22100221511201) 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 31 ways as a sum of consecutive naturals, for example, 40885086 + ... + 41422103.

It is an arithmetic number, because the mean of its divisors is an integer number (985217064300).

Almost surely, 222100221011201 is an apocalyptic number.

It is an amenable number.

22100221011201 is a deficient number, since it is larger than the sum of its proper divisors (9426725046399).

22100221011201 is a wasteful number, since it uses less digits than its factorization.

22100221011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82307329.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22100221011201 its reverse (10211012200122), we get a palindrome (32311233211323).

It can be divided in two parts, 2210022 and 1011201, that added together give a palindrome (3221223).

The spelling of 22100221011201 in words is "twenty-two trillion, one hundred billion, two hundred twenty-one million, eleven thousand, two hundred one".

Divisors: 1 3 37 41 59 111 123 177 1517 2183 2419 4551 6549 7257 89503 268509 82307189 246921567 3045365993 3374594749 4856124151 9136097979 10123784247 14568372453 124860005713 179676593587 199101090191 374580017139 539029780761 597303270573 7366740337067 22100221011201