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1016042031 = 32112893559
BaseRepresentation
bin111100100011111…
…001001000101111
32121210212021122100
4330203321020233
54040101321111
6244453150143
734115133444
oct7443711057
92553767570
101016042031
11481590464
1224432b353
13132665c04
1498d259cb
155e2ee756
hex3c8f922f

1016042031 has 6 divisors (see below), whose sum is σ = 1467616280. Its totient is φ = 677361348.

The previous prime is 1016042029. The next prime is 1016042051. The reversal of 1016042031 is 1302406101.

It is a happy number.

1016042031 is a `hidden beast` number, since 10 + 1 + 604 + 20 + 31 = 666.

It is not a de Polignac number, because 1016042031 - 21 = 1016042029 is a prime.

It is a super-2 number, since 2×10160420312 = 2064682817517209922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1016041995 and 1016042013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016042011) 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 5 ways as a sum of consecutive naturals, for example, 56446771 + ... + 56446788.

Almost surely, 21016042031 is an apocalyptic number.

1016042031 is a deficient number, since it is larger than the sum of its proper divisors (451574249).

1016042031 is a wasteful number, since it uses less digits than its factorization.

1016042031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112893565 (or 112893562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1016042031 is about 31875.4142090734. The cubic root of 1016042031 is about 1005.3190017260.

Adding to 1016042031 its reverse (1302406101), we get a palindrome (2318448132).

The spelling of 1016042031 in words is "one billion, sixteen million, forty-two thousand, thirty-one".

Divisors: 1 3 9 112893559 338680677 1016042031