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221144332223001 = 31124130834819609
BaseRepresentation
bin110010010010000100101101…
…010111011100001000011001
31002000000012011202001121012010
4302102010231113130020121
5212441212043022114001
62102200145334340133
764403102464625505
oct6222045527341031
91060005152047163
10221144332223001
116451086a356700
12209773054ba649
139651a89ac26a5
143c8762b02b305
151a877118a98d6
hexc9212d5dc219

221144332223001 has 48 divisors (see below), whose sum is σ = 332114004250560. Its totient is φ = 130715480332800.

The previous prime is 221144332222999. The next prime is 221144332223051. The reversal of 221144332223001 is 100322233441122.

It is a happy number.

It is not a de Polignac number, because 221144332223001 - 21 = 221144332222999 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221144332223001.

It is not an unprimeable number, because it can be changed into a prime (221144332223051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43474485 + ... + 48294093.

It is an arithmetic number, because the mean of its divisors is an integer number (6919041755220).

Almost surely, 2221144332223001 is an apocalyptic number.

It is an amenable number.

221144332223001 is a deficient number, since it is larger than the sum of its proper divisors (110969672027559).

221144332223001 is a wasteful number, since it uses less digits than its factorization.

221144332223001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822758 (or 4822747 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 221144332223001 its reverse (100322233441122), we get a palindrome (321466565664123).

The spelling of 221144332223001 in words is "two hundred twenty-one trillion, one hundred forty-four billion, three hundred thirty-two million, two hundred twenty-three thousand, one".

Divisors: 1 3 11 33 41 121 123 363 451 1353 3083 4961 9249 14883 33913 101739 126403 373043 379209 1119129 1390433 4171299 4819609 14458827 15294763 45884289 53015699 159047097 197603969 583172689 592811907 1749518067 2173643659 6520930977 14858854547 23910080249 44576563641 71730240747 163447400017 490342200051 609213036427 1797921400187 1827639109281 5393764200561 6701343400697 20104030202091 73714777407667 221144332223001