Search a number
-
+
212170326700 = 225219311359063
BaseRepresentation
bin1100010110011001010…
…1100100001010101100
3202021122111220100011011
43011212111210022230
511434011100423300
6241245242235004
721220531010023
oct3054625441254
9667574810134
10212170326700
1181a87688842
12351534b5a64
131701384b917
14a3aa5998ba
1557bbb3beba
hex31665642ac

212170326700 has 72 divisors (see below), whose sum is σ = 486201381120. Its totient is φ = 80142638400.

The previous prime is 212170326689. The next prime is 212170326713. The reversal of 212170326700 is 7623071212.

It is a super-3 number, since 3×2121703267003 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411369 + ... + 770431.

It is an arithmetic number, because the mean of its divisors is an integer number (6752796960).

Almost surely, 2212170326700 is an apocalyptic number.

212170326700 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 212170326700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243100690560).

212170326700 is an abundant number, since it is smaller than the sum of its proper divisors (274031054420).

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

212170326700 is a wasteful number, since it uses less digits than its factorization.

212170326700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359407 (or 359400 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

Adding to 212170326700 its reverse (7623071212), we get a palindrome (219793397912).

The spelling of 212170326700 in words is "two hundred twelve billion, one hundred seventy million, three hundred twenty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 311 380 475 622 950 1244 1555 1900 3110 5909 6220 7775 11818 15550 23636 29545 31100 59090 118180 147725 295450 359063 590900 718126 1436252 1795315 3590630 6822197 7181260 8976575 13644394 17953150 27288788 34110985 35906300 68221970 111668593 136443940 170554925 223337186 341109850 446674372 558342965 682219700 1116685930 2121703267 2233371860 2791714825 4243406534 5583429650 8486813068 10608516335 11166859300 21217032670 42434065340 53042581675 106085163350 212170326700