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221441011441 = 13671072376053
BaseRepresentation
bin1100111000111011101…
…0011010111011110001
3210011120121022220211021
43032032322122323301
512112002344331231
6245421213215441
721666341353306
oct3161672327361
9704517286737
10221441011441
1185a04750471
1236b00191581
1317b604045b0
14aa099130ad
155b60986811
hex338ee9aef1

221441011441 has 16 divisors (see below), whose sum is σ = 244296368064. Its totient is φ = 199474317504.

The previous prime is 221441011369. The next prime is 221441011469. The reversal of 221441011441 is 144110144122.

It is a cyclic number.

It is not a de Polignac number, because 221441011441 - 223 = 221432622833 is a prime.

It is a super-2 number, since 2×2214410114412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221441011471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1094830 + ... + 1281223.

It is an arithmetic number, because the mean of its divisors is an integer number (15268523004).

Almost surely, 2221441011441 is an apocalyptic number.

It is an amenable number.

221441011441 is a deficient number, since it is larger than the sum of its proper divisors (22855356623).

221441011441 is a wasteful number, since it uses less digits than its factorization.

221441011441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376240.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 221441011441 its reverse (144110144122), we get a palindrome (365551155563).

The spelling of 221441011441 in words is "two hundred twenty-one billion, four hundred forty-one million, eleven thousand, four hundred forty-one".

Divisors: 1 13 67 107 871 1391 7169 93197 2376053 30888689 159195551 254237671 2069542163 3305089723 17033923957 221441011441