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1030110208 = 210892127
BaseRepresentation
bin111101011001100…
…011110000000000
32122210100000112221
4331121203300000
54102202011313
6250114500424
734345535521
oct7531436000
92583300487
101030110208
1148951a056
12248b94714
1313555038a
149ab48848
156067cc8d
hex3d663c00

1030110208 has 66 divisors (see below), whose sum is σ = 2099010176. Its totient is φ = 505257984.

The previous prime is 1030110197. The next prime is 1030110209. The reversal of 1030110208 is 8020110301.

It is a super-3 number, since 3×10301102083 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1030110191 and 1030110200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030110209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8111041 + ... + 8111167.

Almost surely, 21030110208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049505088).

1030110208 is an abundant number, since it is smaller than the sum of its proper divisors (1068899968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1030110208 is an frugal number, since it uses more digits than its factorization.

1030110208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1030110208 is about 32095.3300029771. The cubic root of 1030110208 is about 1009.9376519367.

Adding to 1030110208 its reverse (8020110301), we get a palindrome (9050220509).

The spelling of 1030110208 in words is "one billion, thirty million, one hundred ten thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 89 127 128 178 254 256 356 508 512 712 1016 1024 1424 2032 2848 4064 5696 7921 8128 11303 11392 15842 16256 22606 22784 31684 32512 45212 45568 63368 65024 90424 91136 126736 130048 180848 253472 361696 506944 723392 1005967 1013888 1446784 2011934 2027776 2893568 4023868 4055552 5787136 8047736 8111104 11574272 16095472 32190944 64381888 128763776 257527552 515055104 1030110208