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221130133121 = 19412711047469
BaseRepresentation
bin1100110111110001100…
…0100000111010000001
3210010202221100122221102
43031330120200322001
512110333303224441
6245330310104145
721655545055442
oct3157430407201
9703687318842
10221130133121
1185865216a37
1236a3404b055
1317b10b98221
14a9ba50b2c9
155b4352969b
hex337c620e81

221130133121 has 16 divisors (see below), whose sum is σ = 239325945600. Its totient is φ = 203627779200.

The previous prime is 221130133057. The next prime is 221130133153. The reversal of 221130133121 is 121331031122.

It is a happy number.

It is not a de Polignac number, because 221130133121 - 26 = 221130133057 is a prime.

It is a super-2 number, since 2×2211301331212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221130133093 and 221130133102.

It is not an unprimeable number, because it can be changed into a prime (221130133171) 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, 312626 + ... + 734843.

It is an arithmetic number, because the mean of its divisors is an integer number (14957871600).

Almost surely, 2221130133121 is an apocalyptic number.

It is an amenable number.

221130133121 is a deficient number, since it is larger than the sum of its proper divisors (18195812479).

221130133121 is a wasteful number, since it uses less digits than its factorization.

221130133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047800.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 221130133121 its reverse (121331031122), we get a palindrome (342461164243).

It can be divided in two parts, 2211301 and 33121, that added together give a palindrome (2244422).

The spelling of 221130133121 in words is "two hundred twenty-one billion, one hundred thirty million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 19 41 271 779 5149 11111 211109 1047469 19901911 42946229 283864099 815978351 5393417881 11638428059 221130133121