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1010161616 = 24392916069
BaseRepresentation
bin111100001101011…
…101011111010000
32121101210112020012
4330031131133100
54032100132431
6244123134052
734014142412
oct7415353720
92541715205
101010161616
11479234412
12242374328
13131387489
14982349b2
155da3c22b
hex3c35d7d0

1010161616 has 20 divisors (see below), whose sum is σ = 1957808100. Its totient is φ = 504920832.

The previous prime is 1010161583. The next prime is 1010161631. The reversal of 1010161616 is 6161610101.

It can be written as a sum of positive squares in 2 ways, for example, as 197683600 + 812478016 = 14060^2 + 28504^2 .

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1010161591 and 1010161600.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 54830 + ... + 70898.

It is an arithmetic number, because the mean of its divisors is an integer number (97890405).

Almost surely, 21010161616 is an apocalyptic number.

1010161616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1010161616 is a deficient number, since it is larger than the sum of its proper divisors (947646484).

1010161616 is a wasteful number, since it uses less digits than its factorization.

1010161616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20006 (or 20000 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 1010161616 is about 31783.0397539317. The cubic root of 1010161616 is about 1003.3757965077.

Adding to 1010161616 its reverse (6161610101), we get a palindrome (7171771717).

It can be divided in two parts, 10101 and 61616, that added together give a palindrome (71717).

The spelling of 1010161616 in words is "one billion, ten million, one hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 3929 7858 15716 16069 31432 32138 62864 64276 128552 257104 63135101 126270202 252540404 505080808 1010161616