Search a number
-
+
210100110020 = 225291151314719
BaseRepresentation
bin1100001110101011110…
…0010100001011000100
3202002022020102102202022
43003222330110023010
511420241112010040
6240304010302312
721115322316623
oct3035274241304
9662266372668
10210100110020
1181115042369
1234876127998
1316a7398b238
14a2516636ba
1556ea0096b5
hex30eaf142c4

210100110020 has 48 divisors (see below), whose sum is σ = 456822374400. Its totient is φ = 81071356800.

The previous prime is 210100110001. The next prime is 210100110023. The reversal of 210100110020 is 20011001012.

It is a super-2 number, since 2×2101001100202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210100110023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 510221 + ... + 824939.

It is an arithmetic number, because the mean of its divisors is an integer number (9517132800).

Almost surely, 2210100110020 is an apocalyptic number.

210100110020 is a gapful number since it is divisible by the number (20) 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 210100110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228411187200).

210100110020 is an abundant number, since it is smaller than the sum of its proper divisors (246722264380).

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

210100110020 is a wasteful number, since it uses less digits than its factorization.

210100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315908 (or 315906 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210100110020 its reverse (20011001012), we get a palindrome (230111111032).

The spelling of 210100110020 in words is "two hundred ten billion, one hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1151 2302 4604 5755 11510 23020 33379 66758 133516 166895 314719 333790 629438 667580 1258876 1573595 3147190 6294380 9126851 18253702 36507404 45634255 91268510 182537020 362241569 724483138 1448966276 1811207845 3622415690 7244831380 10505005501 21010011002 42020022004 52525027505 105050055010 210100110020