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1042232031333 = 321715152386257
BaseRepresentation
bin11110010101010011101…
…11101011100001100101
310200122011221102220100200
433022221313223201211
5114033442400000313
62114443401301113
7135204324044553
oct17125167534145
93618157386320
101042232031333
1137200a8a1129
12149ba9494799
13773888b61ac
143863122cbd3
151c19e195b73
hexf2a9deb865

1042232031333 has 48 divisors (see below), whose sum is σ = 1607644861056. Its totient is φ = 648369100800.

The previous prime is 1042232031311. The next prime is 1042232031353. The reversal of 1042232031333 is 3331302322401.

1042232031333 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 320 + 3 + 1 + 333 = 666.

It is not a de Polignac number, because 1042232031333 - 220 = 1042230982757 is a prime.

It is a super-2 number, since 2×10422320313332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042232031297 and 1042232031306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042232031353) 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 47 ways as a sum of consecutive naturals, for example, 12039741 + ... + 12125997.

It is an arithmetic number, because the mean of its divisors is an integer number (33492601272).

Almost surely, 21042232031333 is an apocalyptic number.

It is an amenable number.

1042232031333 is a deficient number, since it is larger than the sum of its proper divisors (565412829723).

1042232031333 is a wasteful number, since it uses less digits than its factorization.

1042232031333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86954 (or 86951 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1042232031333 its reverse (3331302322401), we get a palindrome (4373534353734).

The spelling of 1042232031333 in words is "one trillion, forty-two billion, two hundred thirty-two million, thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 17 51 151 153 453 523 1359 1569 2567 4707 7701 8891 23103 26673 78973 80019 86257 236919 258771 710757 776313 1342541 1466369 4027623 4399107 12082869 13024807 13197321 39074421 45112411 117223263 135337233 221421719 406011699 664265157 766910987 1992795471 2300732961 6811974061 6902198883 20435922183 61307766549 115803559037 347410677111 1042232031333