Search a number
-
+
212322100320 = 2532511113118621
BaseRepresentation
bin1100010110111101100…
…0100010010001100000
3202022001002111020102100
43011233120202101200
511434313424202240
6241312303250400
721224353034511
oct3055730422140
9668032436370
10212322100320
1182055321590
12351962a9a00
131703911bbb5
14a3c27c6a08
1557ca11be30
hex316f622460

212322100320 has 288 divisors, whose sum is σ = 797418838944. Its totient is φ = 51016089600.

The previous prime is 212322100283. The next prime is 212322100349. The reversal of 212322100320 is 23001223212.

212322100320 is a `hidden beast` number, since 2 + 12 + 322 + 10 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2123221003202 (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 junction number, because it is equal to n+sod(n) for n = 212322100293 and 212322100302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1730610 + ... + 1849230.

It is an arithmetic number, because the mean of its divisors is an integer number (2768815413).

Almost surely, 2212322100320 is an apocalyptic number.

212322100320 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 212322100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398709419472).

212322100320 is an abundant number, since it is smaller than the sum of its proper divisors (585096738624).

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

212322100320 is a wasteful number, since it uses less digits than its factorization.

212322100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118766 (or 118755 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212322100320 its reverse (23001223212), we get a palindrome (235323323532).

The spelling of 212322100320 in words is "two hundred twelve billion, three hundred twenty-two million, one hundred thousand, three hundred twenty".