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221032003113 = 32104113235889
BaseRepresentation
bin1100110111011010001…
…0001011011000101001
3210010112002201010212200
43031312202023120221
512110133143044423
6245312442530413
721653244012225
oct3156642133051
9703462633780
10221032003113
1185814892459
1236a07206a09
1317ac675a92c
14a9ab485785
155b39ae3d43
hex337688b629

221032003113 has 12 divisors (see below), whose sum is σ = 319272868980. Its totient is φ = 147352628736.

The previous prime is 221032003111. The next prime is 221032003133. The reversal of 221032003113 is 311300230122.

221032003113 is a `hidden beast` number, since 22 + 10 + 320 + 0 + 311 + 3 = 666.

221032003113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58132585449 + 162899417664 = 241107^2 + 403608^2 .

It is not a de Polignac number, because 221032003113 - 21 = 221032003111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221032003111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819073 + ... + 1054961.

It is an arithmetic number, because the mean of its divisors is an integer number (26606072415).

Almost surely, 2221032003113 is an apocalyptic number.

It is an amenable number.

221032003113 is a deficient number, since it is larger than the sum of its proper divisors (98240865867).

221032003113 is a wasteful number, since it uses less digits than its factorization.

221032003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340008 (or 340005 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221032003113 its reverse (311300230122), we get a palindrome (532332233235).

The spelling of 221032003113 in words is "two hundred twenty-one billion, thirty-two million, three thousand, one hundred thirteen".

Divisors: 1 3 9 104113 235889 312339 707667 937017 2123001 24559111457 73677334371 221032003113