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221042000232333 = 32747544313715071
BaseRepresentation
bin110010010000100101011001…
…111001110111111110001101
31001222122102001001100212010200
4302100211121321313332031
5212433023004024413313
62102041143144524113
764362520553226420
oct6220453171677615
91058572031325120
10221042000232333
116448142763a495
122095b506780639
13964522c119a17
143c826c03b19b7
151a84c22a7eb73
hexc90959e77f8d

221042000232333 has 48 divisors (see below), whose sum is σ = 372726941024256. Its totient is φ = 123599552516640.

The previous prime is 221042000232307. The next prime is 221042000232341. The reversal of 221042000232333 is 333232000240122.

221042000232333 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 420 + 0 + 0 + 2 + 3 + 233 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-221042000232333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221042000232297 and 221042000232306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221042000232353) 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, 9259188 + ... + 22974258.

It is an arithmetic number, because the mean of its divisors is an integer number (7765144604672).

Almost surely, 2221042000232333 is an apocalyptic number.

It is an amenable number.

221042000232333 is a deficient number, since it is larger than the sum of its proper divisors (151684940791923).

221042000232333 is a wasteful number, since it uses less digits than its factorization.

221042000232333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720574 (or 13720571 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 221042000232333 its reverse (333232000240122), we get a palindrome (554274000472455).

The spelling of 221042000232333 in words is "two hundred twenty-one trillion, forty-two billion, two hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 5443 16329 38101 48987 114303 255821 342909 767463 1790747 2302389 5372241 13715071 16116723 41145213 96005497 123435639 288016491 644608337 864049473 1933825011 4512258359 5801475033 13536775077 40610325231 74651131453 223953394359 522557920171 671860183077 1567673760513 3508603178291 4703021281539 10525809534873 24560222248037 31577428604619 73680666744111 221042000232333