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1042114311 = 32727013371
BaseRepresentation
bin111110000111010…
…110011100000111
32200121220220002100
4332013112130013
54113240124221
6251224043143
734552553100
oct7607263407
92617826070
101042114311
114952789a7
122510034b3
13137b941b4
149c5913a7
156174e926
hex3e1d6707

1042114311 has 36 divisors (see below), whose sum is σ = 1754053704. Its totient is φ = 594468000.

The previous prime is 1042114309. The next prime is 1042114313. The reversal of 1042114311 is 1134112401.

It is an interprime number because it is at equal distance from previous prime (1042114309) and next prime (1042114313).

It is not a de Polignac number, because 1042114311 - 21 = 1042114309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042114313) 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 35 ways as a sum of consecutive naturals, for example, 307456 + ... + 310826.

It is an arithmetic number, because the mean of its divisors is an integer number (48723714).

Almost surely, 21042114311 is an apocalyptic number.

1042114311 is a deficient number, since it is larger than the sum of its proper divisors (711939393).

1042114311 is a wasteful number, since it uses less digits than its factorization.

1042114311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1042114311 is about 32281.7953497014. The cubic root of 1042114311 is about 1013.8455205070.

Adding to 1042114311 its reverse (1134112401), we get a palindrome (2176226712).

The spelling of 1042114311 in words is "one billion, forty-two million, one hundred fourteen thousand, three hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 441 701 2103 3371 4907 6309 10113 14721 23597 30339 34349 44163 70791 103047 165179 212373 309141 495537 1486611 2363071 7089213 16541497 21267639 49624491 115790479 148873473 347371437 1042114311