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10110030100 = 2252414096029
BaseRepresentation
bin10010110101001101…
…01101000100010100
3222002120210202001021
421122212231010110
5131201131430400
64351113010524
7505351560262
oct113246550424
928076722037
1010110030100
114318937285
121b619b3a44
13c51733441
146bca05432
153e289471a
hex25a9ad114

10110030100 has 72 divisors (see below), whose sum is σ = 22532542200. Its totient is φ = 3935078400.

The previous prime is 10110030089. The next prime is 10110030103. The reversal of 10110030100 is 103001101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 936604816 + 9173425284 = 30604^2 + 95778^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110030103) 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, 1673886 + ... + 1679914.

It is an arithmetic number, because the mean of its divisors is an integer number (312951975).

Almost surely, 210110030100 is an apocalyptic number.

10110030100 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 10110030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11266271100).

10110030100 is an abundant number, since it is smaller than the sum of its proper divisors (12422512100).

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

10110030100 is a wasteful number, since it uses less digits than its factorization.

10110030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10110030100 its reverse (103001101), we get a palindrome (10213031201).

The spelling of 10110030100 in words is "ten billion, one hundred ten million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 409 410 818 820 1025 1636 2045 2050 4090 4100 6029 8180 10225 12058 16769 20450 24116 30145 33538 40900 60290 67076 83845 120580 150725 167690 247189 301450 335380 419225 494378 602900 838450 988756 1235945 1676900 2465861 2471890 4931722 4943780 6179725 9863444 12329305 12359450 24658610 24718900 49317220 61646525 101100301 123293050 202200602 246586100 404401204 505501505 1011003010 2022006020 2527507525 5055015050 10110030100