Search a number
-
+
212201001222030 = 232517376435829661
BaseRepresentation
bin110000001111111011100101…
…010011000111111110001110
31000211100012212121222012021200
4300033323211103013332032
5210303200122303101110
62031151443313210330
762461005425454642
oct6017734523077616
91024305777865250
10212201001222030
1161682a37137277
121b971b85b609a6
1391536125450b2
143a5882466cc22
15197ec7d2a76c0
hexc0fee54c7f8e

212201001222030 has 192 divisors, whose sum is σ = 600898613410368. Its totient is φ = 51738279137280.

The previous prime is 212201001222019. The next prime is 212201001222053. The reversal of 212201001222030 is 30222100102212.

212201001222030 is a `hidden beast` number, since 21 + 220 + 100 + 122 + 203 + 0 = 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 = 212201001221994 and 212201001222012.

It is a congruent number.

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, 33485400 + ... + 39315060.

It is an arithmetic number, because the mean of its divisors is an integer number (3129680278179).

Almost surely, 2212201001222030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201001222030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300449306705184).

212201001222030 is an abundant number, since it is smaller than the sum of its proper divisors (388697612188338).

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

212201001222030 is a wasteful number, since it uses less digits than its factorization.

212201001222030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830371 (or 5830368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212201001222030 its reverse (30222100102212), we get a palindrome (242423101324242).

The spelling of 212201001222030 in words is "two hundred twelve trillion, two hundred one billion, one million, two hundred twenty-two thousand, thirty".