Search a number
-
+
213312100404 = 22313172331311173
BaseRepresentation
bin1100011010101001100…
…1000101100000110100
3202101121002100110020010
43012222121011200310
511443330344203104
6241554430340220
721261033636234
oct3065231054064
9671532313203
10213312100404
1182513135277
123541195a670
1317166267570
14a47808dcc4
155836ec5489
hex31aa645834

213312100404 has 192 divisors, whose sum is σ = 594166454784. Its totient is φ = 58893778944.

The previous prime is 213312100303. The next prime is 213312100409. The reversal of 213312100404 is 404001213312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213312100409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19086162 + ... + 19097334.

It is an arithmetic number, because the mean of its divisors is an integer number (3094616952).

Almost surely, 2213312100404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213312100404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297083227392).

213312100404 is an abundant number, since it is smaller than the sum of its proper divisors (380854354380).

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

213312100404 is a wasteful number, since it uses less digits than its factorization.

213312100404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11546 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213312100404 its reverse (404001213312), we get a palindrome (617313313716).

The spelling of 213312100404 in words is "two hundred thirteen billion, three hundred twelve million, one hundred thousand, four hundred four".