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212210212111344 = 2432194110093187433
BaseRepresentation
bin110000010000000100001010…
…010011111000001111110000
31000211101002122112212212001100
4300100010022103320033300
5210303323003300030334
62031200005310404400
762461452611645436
oct6020041223701760
91024332575785040
10212210212111344
1161686933478797
121b973916800700
13915444c8c2c65
143a59059a9cd56
15198011bc3ec99
hexc1010a4f83f0

212210212111344 has 240 divisors, whose sum is σ = 640465891621920. Its totient is φ = 65372442992640.

The previous prime is 212210212111343. The next prime is 212210212111393. The reversal of 212210212111344 is 443111212012212.

212210212111344 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 102 + 1 + 211 + 1 + 344 = 666.

It is a super-2 number, since 2×2122102121113442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210212111343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1132098652 + ... + 1132286084.

It is an arithmetic number, because the mean of its divisors is an integer number (2668607881758).

Almost surely, 2212210212111344 is an apocalyptic number.

212210212111344 is a gapful number since it is divisible by the number (24) 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 212210212111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320232945810960).

212210212111344 is an abundant number, since it is smaller than the sum of its proper divisors (428255679510576).

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

212210212111344 is a wasteful number, since it uses less digits than its factorization.

212210212111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197600 (or 197591 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 212210212111344 its reverse (443111212012212), we get a palindrome (655321424123556).

The spelling of 212210212111344 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twelve million, one hundred eleven thousand, three hundred forty-four".