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10110020200 = 2352725728099
BaseRepresentation
bin10010110101001101…
…01010101001101000
3222002120210020110121
421122212222221220
5131201131121300
64351112453024
7505351516360
oct113246525150
928076706417
1010110020200
11431892a8a5
121b619aa174
13c5172ba97
146bca019a0
153e289181a
hex25a9aaa68

10110020200 has 96 divisors (see below), whose sum is σ = 26969256000. Its totient is φ = 3452682240.

The previous prime is 10110020183. The next prime is 10110020203. The reversal of 10110020200 is 202001101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10110020203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345751 + ... + 373849.

It is an arithmetic number, because the mean of its divisors is an integer number (280929750).

Almost surely, 210110020200 is an apocalyptic number.

10110020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484628000).

10110020200 is an abundant number, since it is smaller than the sum of its proper divisors (16859235800).

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

10110020200 is a wasteful number, since it uses less digits than its factorization.

10110020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28379 (or 28370 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10110020200 its reverse (202001101), we get a palindrome (10312021301).

The spelling of 10110020200 in words is "ten billion, one hundred ten million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 257 280 350 514 700 1028 1285 1400 1799 2056 2570 3598 5140 6425 7196 8995 10280 12850 14392 17990 25700 28099 35980 44975 51400 56198 71960 89950 112396 140495 179900 196693 224792 280990 359800 393386 561980 702475 786772 983465 1123960 1404950 1573544 1966930 2809900 3933860 4917325 5619800 7221443 7867720 9834650 14442886 19669300 28885772 36107215 39338600 50550101 57771544 72214430 101100202 144428860 180536075 202200404 252750505 288857720 361072150 404400808 505501010 722144300 1011002020 1263752525 1444288600 2022004040 2527505050 5055010100 10110020200