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221143313133 = 33197237717491
BaseRepresentation
bin1100110111110100101…
…0110010101011101101
3210010210212011021112000
43031331022302223231
512110400142010013
6245331500402513
721656065101231
oct3157512625355
9703725137460
10221143313133
11858716a9306
1236a38546439
1317b13831352
14a9bc17c5c1
155b4477e973
hex337d2b2aed

221143313133 has 32 divisors (see below), whose sum is σ = 329440129920. Its totient is φ = 146610414720.

The previous prime is 221143313129. The next prime is 221143313173. The reversal of 221143313133 is 331313341122.

221143313133 is a `hidden beast` number, since 2 + 2 + 1 + 14 + 331 + 313 + 3 = 666.

It is not a de Polignac number, because 221143313133 - 22 = 221143313129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221143313097 and 221143313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221143313113) 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 31 ways as a sum of consecutive naturals, for example, 12634518 + ... + 12652008.

It is an arithmetic number, because the mean of its divisors is an integer number (10295004060).

Almost surely, 2221143313133 is an apocalyptic number.

It is an amenable number.

221143313133 is a deficient number, since it is larger than the sum of its proper divisors (108296816787).

221143313133 is a wasteful number, since it uses less digits than its factorization.

221143313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20074 (or 20068 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 221143313133 its reverse (331313341122), we get a palindrome (552456654255).

The spelling of 221143313133 in words is "two hundred twenty-one billion, one hundred forty-three million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 197 591 1773 2377 5319 7131 17491 21393 52473 64179 157419 468269 472257 1404807 3445727 4214421 10337181 12643263 31011543 41576107 93034629 124728321 374184963 1122554889 8190493079 24571479237 73714437711 221143313133