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221233201130331 = 321313713802058839
BaseRepresentation
bin110010010011010111011110…
…010111011010101101011011
31002000022200120011120211212100
4302103113132113122231123
5212444141043442132311
62102305043551414443
764412366651110005
oct6223273627325533
91060280504524770
10221233201130331
1164545523556065
1220990587524423
13965a280498860
143c8ba5ba15375
151a89bb37aca56
hexc935de5dab5b

221233201130331 has 24 divisors (see below), whose sum is σ = 346652509825440. Its totient is φ = 135149760141696.

The previous prime is 221233201130329. The next prime is 221233201130339. The reversal of 221233201130331 is 133031102332122.

221233201130331 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 320 + 1 + 1 + 3 + 0 + 331 = 666.

It is not a de Polignac number, because 221233201130331 - 21 = 221233201130329 is a prime.

It is a super-2 number, since 2×2212332011303312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221233201130295 and 221233201130304.

It is not an unprimeable number, because it can be changed into a prime (221233201130339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6901013391 + ... + 6901045448.

It is an arithmetic number, because the mean of its divisors is an integer number (14443854576060).

Almost surely, 2221233201130331 is an apocalyptic number.

221233201130331 is a deficient number, since it is larger than the sum of its proper divisors (125419308695109).

221233201130331 is a wasteful number, since it uses less digits than its factorization.

221233201130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13802058995 (or 13802058992 counting only the distinct ones).

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

Adding to 221233201130331 its reverse (133031102332122), we get a palindrome (354264303462453).

The spelling of 221233201130331 in words is "two hundred twenty-one trillion, two hundred thirty-three billion, two hundred one million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 117 137 411 1233 1781 5343 16029 13802058839 41406176517 124218529551 179426764907 538280294721 1614840884163 1890882060943 5672646182829 17017938548487 24581466792259 73744400376777 221233201130331