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42333000131133 = 3240129117213653
BaseRepresentation
bin10011010000000011010110…
…11011110110001000111101
312112212222212120021020121200
421220001223123312020331
521022040441013144013
6230011302313450113
711626313131003125
oct1150015333661075
9175788776236550
1042333000131133
1112541362a560a8
1248b8504110939
131a80ca575193a
14a64cdcb53c85
154d62a259ee73
hex26806b6f623d

42333000131133 has 12 divisors (see below), whose sum is σ = 61149191155260. Its totient is φ = 28221296564736.

The previous prime is 42333000131089. The next prime is 42333000131159. The reversal of 42333000131133 is 33113100033324.

42333000131133 is a `hidden beast` number, since 4 + 233 + 300 + 0 + 13 + 113 + 3 = 666.

42333000131133 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 21885583309209 + 20447416821924 = 4678203^2 + 4521882^2 .

It is not a de Polignac number, because 42333000131133 - 230 = 42331926389309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42333000131097 and 42333000131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333000131173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58245666 + ... + 58967987.

It is an arithmetic number, because the mean of its divisors is an integer number (5095765929605).

Almost surely, 242333000131133 is an apocalyptic number.

It is an amenable number.

42333000131133 is a deficient number, since it is larger than the sum of its proper divisors (18816191024127).

42333000131133 is a wasteful number, since it uses less digits than its factorization.

42333000131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117253788 (or 117253785 counting only the distinct ones).

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

Adding to 42333000131133 its reverse (33113100033324), we get a palindrome (75446100164457).

The spelling of 42333000131133 in words is "forty-two trillion, three hundred thirty-three billion, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 40129 120387 361161 117213653 351640959 1054922877 4703666681237 14111000043711 42333000131133