Search a number
-
+
213101023212 = 2232711413974723
BaseRepresentation
bin1100011001110111001…
…1111000111111101100
3202101001101011121202100
43012131303320333230
511442412330220322
6241521450255100
721252561544650
oct3063563707754
9671041147670
10213101023212
1182414a76910
1235373127490
131713160230c
14a458026a60
1558236cddac
hex319dcf8fec

213101023212 has 288 divisors, whose sum is σ = 689850330624. Its totient is φ = 53853465600.

The previous prime is 213101023193. The next prime is 213101023271. The reversal of 213101023212 is 212320101312.

213101023212 is a `hidden beast` number, since 21 + 310 + 10 + 2 + 321 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45117483 + ... + 45122205.

It is an arithmetic number, because the mean of its divisors is an integer number (2395313648).

Almost surely, 2213101023212 is an apocalyptic number.

213101023212 is a gapful number since it is divisible by the number (22) 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 213101023212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344925165312).

213101023212 is an abundant number, since it is smaller than the sum of its proper divisors (476749307412).

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

213101023212 is a wasteful number, since it uses less digits than its factorization.

213101023212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213101023212 its reverse (212320101312), we get a palindrome (425421124524).

The spelling of 213101023212 in words is "two hundred thirteen billion, one hundred one million, twenty-three thousand, two hundred twelve".