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233043323223141 = 321031409178420987
BaseRepresentation
bin110100111111001110100000…
…011111110111110001100101
31010120010201112212212212010200
4310333032200133313301211
5221021140211221120031
62143350342535141113
7100041552540416124
oct6477164037676145
91116121485785120
10233043323223141
1168289133594922
1222179435514799
13a005b779340b2
1441794dd977abb
151be1ed1bd28e6
hexd3f3a07f7c65

233043323223141 has 24 divisors (see below), whose sum is σ = 340127497844160. Its totient is φ = 153744649952256.

The previous prime is 233043323223091. The next prime is 233043323223187. The reversal of 233043323223141 is 141322323340332.

233043323223141 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 4 + 332 + 3 + 2 + 2 + 314 + 1 = 666.

It is not a de Polignac number, because 233043323223141 - 29 = 233043323222629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233043323223096 and 233043323223105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233043323223241) 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, 87904351 + ... + 90516636.

It is an arithmetic number, because the mean of its divisors is an integer number (14171979076840).

Almost surely, 2233043323223141 is an apocalyptic number.

It is an amenable number.

233043323223141 is a deficient number, since it is larger than the sum of its proper divisors (107084174621019).

233043323223141 is a wasteful number, since it uses less digits than its factorization.

233043323223141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178422505 (or 178422502 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 233043323223141 its reverse (141322323340332), we get a palindrome (374365646563473).

The spelling of 233043323223141 in words is "two hundred thirty-three trillion, forty-three billion, three hundred twenty-three million, two hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 9 103 309 927 1409 4227 12681 145127 435381 1306143 178420987 535262961 1605788883 18377361661 55132084983 165396254949 251395170683 754185512049 2262556536147 25893702580349 77681107741047 233043323223141