Search a number
-
+
210233123100 = 223252721113173753
BaseRepresentation
bin1100001111001011011…
…1101110000100011100
3202002122111201012101200
43003302313232010130
511421024134414400
6240325121235500
721121526030100
oct3036267560434
9662574635350
10210233123100
1181183132030
12348b2792b90
1316a953c02c0
14a2651a9900
155706a30b00
hex30f2dee11c

210233123100 has 2592 divisors, whose sum is σ = 997785262656. Its totient is φ = 36229939200.

The previous prime is 210233123077. The next prime is 210233123143. The reversal of 210233123100 is 1321332012.

210233123100 is a `hidden beast` number, since 2 + 102 + 331 + 231 + 0 + 0 = 666.

210233123100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2102331231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 3966662674 + ... + 3966662726.

It is an arithmetic number, because the mean of its divisors is an integer number (384948018).

Almost surely, 2210233123100 is an apocalyptic number.

210233123100 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 210233123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498892631328).

210233123100 is an abundant number, since it is smaller than the sum of its proper divisors (787552139556).

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

210233123100 is a wasteful number, since it uses less digits than its factorization.

210233123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210233123100 its reverse (1321332012), we get a palindrome (211554455112).

It can be divided in two parts, 210233 and 123100, that added together give a palindrome (333333).

The spelling of 210233123100 in words is "two hundred ten billion, two hundred thirty-three million, one hundred twenty-three thousand, one hundred".