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221342144002011 = 32434160313747651
BaseRepresentation
bin110010010100111100111011…
…110111011111011111011011
31002000201002202120211010210200
4302110330323313133133123
5213002432202331031021
62102431102135313243
764423304445202464
oct6224747367373733
91060632676733720
10221342144002011
1164587748a02aaa
12209a971021b823
139667622975736
143c93034659d6b
151a8c93cb8c126
hexc94f3bddf7db

221342144002011 has 24 divisors (see below), whose sum is σ = 327159583498176. Its totient is φ = 144126293295600.

The previous prime is 221342144001917. The next prime is 221342144002013. The reversal of 221342144002011 is 110200441243122.

221342144002011 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 42 + 14 + 400 + 201 + 1 = 666.

It is not a de Polignac number, because 221342144002011 - 234 = 221324964132827 is a prime.

It is a super-2 number, since 2×2213421440020112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221342144002013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9226536 + ... + 22974186.

It is an arithmetic number, because the mean of its divisors is an integer number (13631649312424).

Almost surely, 2221342144002011 is an apocalyptic number.

221342144002011 is a deficient number, since it is larger than the sum of its proper divisors (105817439496165).

221342144002011 is a wasteful number, since it uses less digits than its factorization.

221342144002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13789303 (or 13789300 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 221342144002011 its reverse (110200441243122), we get a palindrome (331542585245133).

The spelling of 221342144002011 in words is "two hundred twenty-one trillion, three hundred forty-two billion, one hundred forty-four million, two thousand, eleven".

Divisors: 1 3 9 43 129 387 41603 124809 374427 1788929 5366787 13747651 16100361 41242953 123728859 591148993 1773446979 5320340937 571943524553 1715830573659 5147491720977 24593571555779 73780714667337 221342144002011