Search a number
-
+
210144123330030 = 233519713671572083
BaseRepresentation
bin101111110001111111111101…
…110100101001110111101110
31000120001120201021100001121000
4233301333331310221313232
5210021000131033030110
62022534513313421130
762156261164035561
oct5761777564516756
91016046637301530
10210144123330030
1160a5a6931a037a
121b69b40986a7a6
13903467631c636
1439c705bc3a4d8
1519464e6bdb1c0
hexbf1ffdd29dee

210144123330030 has 256 divisors, whose sum is σ = 599816702361600. Its totient is φ = 52198656128640.

The previous prime is 210144123330017. The next prime is 210144123330047. The reversal of 210144123330030 is 30033321441012.

It is a happy number.

210144123330030 is a `hidden beast` number, since 210 + 1 + 4 + 412 + 3 + 3 + 3 + 0 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 210144123329976 and 210144123330003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132886369 + ... + 134458451.

It is an arithmetic number, because the mean of its divisors is an integer number (2343033993600).

Almost surely, 2210144123330030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210144123330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299908351180800).

210144123330030 is an abundant number, since it is smaller than the sum of its proper divisors (389672579031570).

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

210144123330030 is a wasteful number, since it uses less digits than its factorization.

210144123330030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572556 (or 1572550 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 210144123330030 its reverse (30033321441012), we get a palindrome (240177444771042).

The spelling of 210144123330030 in words is "two hundred ten trillion, one hundred forty-four billion, one hundred twenty-three million, three hundred thirty thousand, thirty".