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1042415153 = 13261101117
BaseRepresentation
bin111110001000011…
…111111000110001
32200122111011202122
4332020133320301
54113324241103
6251234324025
734555245143
oct7610377061
92618434678
101042415153
11495463a2a
12251129615
13137c6b100
149c62cc93
15617adb38
hex3e21fe31

1042415153 has 12 divisors (see below), whose sum is σ = 1147284828. Its totient is φ = 946445760.

The previous prime is 1042415149. The next prime is 1042415167. The reversal of 1042415153 is 3515142401.

It can be written as a sum of positive squares in 6 ways, for example, as 486775969 + 555639184 = 22063^2 + 23572^2 .

It is not a de Polignac number, because 1042415153 - 22 = 1042415149 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1042415173) 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 11 ways as a sum of consecutive naturals, for example, 40250 + ... + 60867.

It is an arithmetic number, because the mean of its divisors is an integer number (95607069).

Almost surely, 21042415153 is an apocalyptic number.

1042415153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1042415153 is a deficient number, since it is larger than the sum of its proper divisors (104869675).

1042415153 is a wasteful number, since it uses less digits than its factorization.

1042415153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101204 (or 101191 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1042415153 is about 32286.4546365810. The cubic root of 1042415153 is about 1013.9430715355.

Adding to 1042415153 its reverse (3515142401), we get a palindrome (4557557554).

The spelling of 1042415153 in words is "one billion, forty-two million, four hundred fifteen thousand, one hundred fifty-three".

Divisors: 1 13 61 169 793 10309 101117 1314521 6168137 17088773 80185781 1042415153