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1042113143331 = 32139119777113
BaseRepresentation
bin11110010101000101100…
…10001010001000100011
310200121212122201202200100
433022202302022020203
5114033221431041311
62114423513153443
7135201351364401
oct17124262121043
93617778652610
101042113143331
11371a59779887
12149b756bb883
137736a08b470
143861d522471
151c193a0ea56
hexf2a2c8a223

1042113143331 has 24 divisors (see below), whose sum is σ = 1622844490176. Its totient is φ = 640596378240.

The previous prime is 1042113143327. The next prime is 1042113143339. The reversal of 1042113143331 is 1333413112401.

1042113143331 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 11 + 314 + 3 + 331 = 666.

It is not a de Polignac number, because 1042113143331 - 22 = 1042113143327 is a prime.

It is a super-2 number, since 2×10421131433312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042113143295 and 1042113143304.

It is not an unprimeable number, because it can be changed into a prime (1042113143339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4781970 + ... + 4995143.

It is an arithmetic number, because the mean of its divisors is an integer number (67618520424).

Almost surely, 21042113143331 is an apocalyptic number.

1042113143331 is a deficient number, since it is larger than the sum of its proper divisors (580731346845).

1042113143331 is a wasteful number, since it uses less digits than its factorization.

1042113143331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778043 (or 9778040 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1042113143331 its reverse (1333413112401), we get a palindrome (2375526255732).

The spelling of 1042113143331 in words is "one trillion, forty-two billion, one hundred thirteen million, one hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 117 911 2733 8199 11843 35529 106587 9777113 29331339 87994017 127102469 381307407 1143922221 8906949943 26720849829 80162549487 115790349259 347371047777 1042113143331