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1050053031 = 33195934693
BaseRepresentation
bin111110100101101…
…000100110100111
32201011212012222000
4332211220212213
54122303144111
6252110140343
735010206046
oct7645504647
92634765860
101050053031
11499800425
122537b16b3
13139713771
149d65a55d
15622bbc56
hex3e9689a7

1050053031 has 32 divisors (see below), whose sum is σ = 1665312000. Its totient is φ = 651932064.

The previous prime is 1050053021. The next prime is 1050053041. The reversal of 1050053031 is 1303500501.

It is a happy number.

1050053031 is a `hidden beast` number, since 105 + 0 + 0 + 530 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (1050053021) and next prime (1050053041).

It is not a de Polignac number, because 1050053031 - 215 = 1050020263 is a prime.

It is a super-2 number, since 2×10500530312 = 2205222735824573922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1050052995 and 1050053013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050053021) 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, 12921 + ... + 47613.

It is an arithmetic number, because the mean of its divisors is an integer number (52041000).

Almost surely, 21050053031 is an apocalyptic number.

1050053031 is a deficient number, since it is larger than the sum of its proper divisors (615258969).

1050053031 is a wasteful number, since it uses less digits than its factorization.

1050053031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34780 (or 34774 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1050053031 is about 32404.5217678027. The cubic root of 1050053031 is about 1016.4134678015.

Adding to 1050053031 its reverse (1303500501), we get a palindrome (2353553532).

The spelling of 1050053031 in words is "one billion, fifty million, fifty-three thousand, thirty-one".

Divisors: 1 3 9 19 27 57 59 171 177 513 531 1121 1593 3363 10089 30267 34693 104079 312237 659167 936711 1977501 2046887 5932503 6140661 17797509 18421983 38890853 55265949 116672559 350017677 1050053031