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1042012323 = 331122315733
BaseRepresentation
bin111110000110111…
…101100010100011
32200121201201012000
4332012331202203
54113223343243
6251221535043
734551646542
oct7606754243
92617651160
101042012323
11495209310
12250b74483
13137b59951
149c566159
156172e5d3
hex3e1bd8a3

1042012323 has 32 divisors (see below), whose sum is σ = 1691719680. Its totient is φ = 628650720.

The previous prime is 1042012319. The next prime is 1042012333. The reversal of 1042012323 is 3232102401.

1042012323 is a `hidden beast` number, since 10 + 420 + 1 + 232 + 3 = 666.

It is not a de Polignac number, because 1042012323 - 22 = 1042012319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1042012296 and 1042012305.

It is not an unprimeable number, because it can be changed into a prime (1042012303) 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 31 ways as a sum of consecutive naturals, for example, 58365 + ... + 74097.

It is an arithmetic number, because the mean of its divisors is an integer number (52866240).

Almost surely, 21042012323 is an apocalyptic number.

1042012323 is a deficient number, since it is larger than the sum of its proper divisors (649707357).

1042012323 is a wasteful number, since it uses less digits than its factorization.

1042012323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976 (or 15970 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1042012323 is about 32280.2156591309. The cubic root of 1042012323 is about 1013.8124456165.

Adding to 1042012323 its reverse (3232102401), we get a palindrome (4274114724).

The spelling of 1042012323 in words is "one billion, forty-two million, twelve thousand, three hundred twenty-three".

Divisors: 1 3 9 11 27 33 99 223 297 669 2007 2453 6021 7359 15733 22077 47199 66231 141597 173063 424791 519189 1557567 3508459 4672701 10525377 31576131 38593049 94728393 115779147 347337441 1042012323