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213240424055301 = 3252164179789017
BaseRepresentation
bin110000011111000011100111…
…101110100100001000000101
31000222000120210210102001100200
4300133003213232210020011
5210422212342024232201
62033305144244001113
762626053331664646
oct6037034756441005
91028016723361320
10213240424055301
1161a43835238305
121babb50a690199
1391ca6411304c6
143a92c6a7616cd
15199bd159e8386
hexc1f0e7ba4205

213240424055301 has 48 divisors (see below), whose sum is σ = 309477875838768. Its totient is φ = 141486730444800.

The previous prime is 213240424055293. The next prime is 213240424055413. The reversal of 213240424055301 is 103550424042312.

It is a happy number.

213240424055301 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 40 + 42 + 40 + 5 + 530 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 127170692100 + 213113253363201 = 356610^2 + 14598399^2 .

It is not a de Polignac number, because 213240424055301 - 23 = 213240424055293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213240424055501) 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, 2395457745 + ... + 2395546761.

It is an arithmetic number, because the mean of its divisors is an integer number (6447455746641).

Almost surely, 2213240424055301 is an apocalyptic number.

It is an amenable number.

213240424055301 is a deficient number, since it is larger than the sum of its proper divisors (96237451783467).

213240424055301 is a wasteful number, since it uses less digits than its factorization.

213240424055301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90982 (or 90979 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 213240424055301 its reverse (103550424042312), we get a palindrome (316790848097613).

The spelling of 213240424055301 in words is "two hundred thirteen trillion, two hundred forty billion, four hundred twenty-four million, fifty-five thousand, three hundred one".

Divisors: 1 3 9 521 641 797 1563 1923 2391 4689 5769 7173 89017 267051 333961 415237 510877 801153 1001883 1245711 1532631 3005649 3737133 4597893 46377857 57059897 70946549 139133571 171179691 212839647 266166917 417400713 513539073 638518941 798500751 2395502253 29728206337 36963152029 45476737909 89184619011 110889456087 136430213727 267553857033 332668368261 409290641181 23693380450589 71080141351767 213240424055301