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243331031133 = 3258214644697
BaseRepresentation
bin1110001010011110101…
…0001110000001011101
3212021002011021010200100
43202213222032001131
512441320220444013
6303441300251313
723402653431561
oct3424752160135
9767064233610
10243331031133
1194218029233
123b1ab0a0b39
1319c3b52a178
14bac4c256a1
1564e25dd473
hex38a7a8e05d

243331031133 has 12 divisors (see below), whose sum is σ = 351538612828. Its totient is φ = 162192784320.

The previous prime is 243331031123. The next prime is 243331031137. The reversal of 243331031133 is 331130133342.

243331031133 is a `hidden beast` number, since 2 + 4 + 3 + 3 + 310 + 311 + 33 = 666.

243331031133 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 223920132804 + 19410898329 = 473202^2 + 139323^2 .

It is not a de Polignac number, because 243331031133 - 229 = 242794160221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 243331031097 and 243331031106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243331031137) 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, 2269960 + ... + 2374737.

Almost surely, 2243331031133 is an apocalyptic number.

It is an amenable number.

243331031133 is a deficient number, since it is larger than the sum of its proper divisors (108207581695).

243331031133 is a wasteful number, since it uses less digits than its factorization.

243331031133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650524 (or 4650521 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 243331031133 its reverse (331130133342), we get a palindrome (574461164475).

The spelling of 243331031133 in words is "two hundred forty-three billion, three hundred thirty-one million, thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 5821 17463 52389 4644697 13934091 41802273 27036781237 81110343711 243331031133