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212430200104144 = 241122941794992341
BaseRepresentation
bin110000010011010001000010…
…100111011110010011010000
31000212011010110220002210000101
4300103101002213132103100
5210320424022211313034
62031445030420502144
762513401251020101
oct6023210247362320
91025133426083011
10212430200104144
1161761161a07800
121b9aa49024a954
13916c10ac746b9
143a6596861c3a8
151985be4d5c514
hexc134429de4d0

212430200104144 has 480 divisors, whose sum is σ = 486665726400000. Its totient is φ = 89586072576000.

The previous prime is 212430200104139. The next prime is 212430200104163. The reversal of 212430200104144 is 441401002034212.

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, 90743356414 + ... + 90743358754.

It is an arithmetic number, because the mean of its divisors is an integer number (1013886930000).

Almost surely, 2212430200104144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212430200104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243332863200000).

212430200104144 is an abundant number, since it is smaller than the sum of its proper divisors (274235526295856).

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

212430200104144 is a wasteful number, since it uses less digits than its factorization.

212430200104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 212430200104144 its reverse (441401002034212), we get a palindrome (653831202138356).

The spelling of 212430200104144 in words is "two hundred twelve trillion, four hundred thirty billion, two hundred million, one hundred four thousand, one hundred forty-four".