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110200020008 = 231389113105361
BaseRepresentation
bin110011010100001101…
…1101101110000101000
3101112110000210001020112
41212220123231300220
53301142201120013
6122343012513452
710650600500111
oct1465033556050
9345400701215
10110200020008
1142810047101
121943591b888
13a512a90340
1454959ad208
152cee957ba8
hex19a86edc28

110200020008 has 64 divisors (see below), whose sum is σ = 227012965200. Its totient is φ = 49844551680.

The previous prime is 110200020001. The next prime is 110200020013. The reversal of 110200020008 is 800020002011.

It can be written as a sum of positive squares in 8 ways, for example, as 9927731044 + 100272288964 = 99638^2 + 316658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110200019974 and 110200020001.

It is not an unprimeable number, because it can be changed into a prime (110200020001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993248 + ... + 1098608.

Almost surely, 2110200020008 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 110200020008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113506482600).

110200020008 is an abundant number, since it is smaller than the sum of its proper divisors (116812945192).

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

110200020008 is a wasteful number, since it uses less digits than its factorization.

110200020008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105582 (or 105578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110200020008 its reverse (800020002011), we get a palindrome (910220022019).

The spelling of 110200020008 in words is "one hundred ten billion, two hundred million, twenty thousand, eight".

Divisors: 1 2 4 8 13 26 52 89 104 113 178 226 356 452 712 904 1157 1469 2314 2938 4628 5876 9256 10057 11752 20114 40228 80456 105361 130741 210722 261482 421444 522964 842888 1045928 1369693 2739386 5478772 9377129 10957544 11905793 18754258 23811586 37508516 47623172 75017032 95246344 121902677 154775309 243805354 309550618 487610708 619101236 975221416 1059615577 1238202472 2119231154 4238462308 8476924616 13775002501 27550005002 55100010004 110200020008