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1042014105 = 33511719883
BaseRepresentation
bin111110000110111…
…101111110011001
32200121201210122000
4332012331332121
54113223422410
6251221551213
734551654666
oct7606757631
92617653560
101042014105
1149520a690
12250b75509
13137b5a6c2
149c566a6d
156172edc0
hex3e1bdf99

1042014105 has 64 divisors (see below), whose sum is σ = 2049546240. Its totient is φ = 498052800.

The previous prime is 1042014101. The next prime is 1042014143. The reversal of 1042014105 is 5014102401.

It is not a de Polignac number, because 1042014105 - 22 = 1042014101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1042014101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100494 + ... + 110376.

It is an arithmetic number, because the mean of its divisors is an integer number (32024160).

Almost surely, 21042014105 is an apocalyptic number.

1042014105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1042014105 is a deficient number, since it is larger than the sum of its proper divisors (1007532135).

1042014105 is a wasteful number, since it uses less digits than its factorization.

1042014105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1042014105 is about 32280.2432611652. The cubic root of 1042014105 is about 1013.8130235408.

Adding to 1042014105 its reverse (5014102401), we get a palindrome (6056116506).

The spelling of 1042014105 in words is "one billion, forty-two million, fourteen thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 71 99 135 165 213 297 355 495 639 781 1065 1485 1917 2343 3195 3905 7029 9585 9883 11715 21087 29649 35145 49415 88947 105435 108713 148245 266841 326139 444735 543565 701693 978417 1334205 1630695 2105079 2935251 3508465 4892085 6315237 7718623 10525395 14676255 18945711 23155869 31576185 38593115 69467607 94728555 115779345 208402821 347338035 1042014105