Search a number
-
+
212454311201132 = 22711131730371027727
BaseRepresentation
bin110000010011100111011111…
…110000000000100101101100
31000212020102201020101102010112
4300103213133300000211230
5210321322412131414012
62031504055125155152
762515213612661360
oct6023473760004554
91025212636342115
10212454311201132
1161770405000840
121b9b309ab5bab8
13917148129b4b0
143a66bb48d72a0
151986656996122
hexc139dfc0096c

212454311201132 has 192 divisors, whose sum is σ = 528732214972416. Its totient is φ = 71888858173440.

The previous prime is 212454311201101. The next prime is 212454311201207. The reversal of 212454311201132 is 231102113454212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206208653 + ... + 207236379.

It is an arithmetic number, because the mean of its divisors is an integer number (2753813619648).

Almost surely, 2212454311201132 is an apocalyptic number.

212454311201132 is a gapful number since it is divisible by the number (22) 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 212454311201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264366107486208).

212454311201132 is an abundant number, since it is smaller than the sum of its proper divisors (316277903771284).

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

212454311201132 is a wasteful number, since it uses less digits than its factorization.

212454311201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030816 (or 1030814 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 212454311201132 its reverse (231102113454212), we get a palindrome (443556424655344).

The spelling of 212454311201132 in words is "two hundred twelve trillion, four hundred fifty-four billion, three hundred eleven million, two hundred one thousand, one hundred thirty-two".