Search a number
-
+
213111230220 = 22325735636131
BaseRepresentation
bin1100011001111001101…
…0110100111100001100
3202101002002101012010200
43012132122310330030
511442422433331340
6241522453133500
721253044366000
oct3063632647414
9671062335120
10213111230220
118241a808559
123537662a290
1317133767175
14a459522700
155824548330
hex319e6b4f0c

213111230220 has 288 divisors, whose sum is σ = 755325043200. Its totient is φ = 48616686720.

The previous prime is 213111230183. The next prime is 213111230231. The reversal of 213111230220 is 22032111312.

213111230220 is a `hidden beast` number, since 21 + 311 + 12 + 302 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213111230193 and 213111230202.

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, 34756555 + ... + 34762685.

It is an arithmetic number, because the mean of its divisors is an integer number (2622656400).

Almost surely, 2213111230220 is an apocalyptic number.

213111230220 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 213111230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377662521600).

213111230220 is an abundant number, since it is smaller than the sum of its proper divisors (542213812980).

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

213111230220 is a wasteful number, since it uses less digits than its factorization.

213111230220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6711 counting only the distinct ones).

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

Adding to 213111230220 its reverse (22032111312), we get a palindrome (235143341532).

The spelling of 213111230220 in words is "two hundred thirteen billion, one hundred eleven million, two hundred thirty thousand, two hundred twenty".