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212320422214433 = 13217618291461409
BaseRepresentation
bin110000010001101010110011…
…010110000011101100100001
31000211202122010021122011200022
4300101222303112003230201
5210312124211041330213
62031322353323403225
762502433664242361
oct6021526326035441
91024678107564608
10212320422214433
1161719649181415
121b991153983515
1391619647a3900
143a60512b349a1
151982e1c4da308
hexc11ab3583b21

212320422214433 has 48 divisors (see below), whose sum is σ = 247722498428400. Its totient is φ = 181216462602240.

The previous prime is 212320422214429. The next prime is 212320422214441. The reversal of 212320422214433 is 334412224023212.

It can be written as a sum of positive squares in 24 ways, for example, as 205642684021009 + 6677738193424 = 14340247^2 + 2584132^2 .

It is not a de Polignac number, because 212320422214433 - 22 = 212320422214429 is a prime.

It is a super-2 number, since 2×2123204222144332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212320422214393 and 212320422214402.

It is not an unprimeable number, because it can be changed into a prime (212320422214633) 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, 144554033 + ... + 146015441.

It is an arithmetic number, because the mean of its divisors is an integer number (5160885383925).

Almost surely, 2212320422214433 is an apocalyptic number.

It is an amenable number.

212320422214433 is a deficient number, since it is larger than the sum of its proper divisors (35402076213967).

212320422214433 is a wasteful number, since it uses less digits than its factorization.

212320422214433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462342 (or 1462329 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 212320422214433 its reverse (334412224023212), we get a palindrome (546732646237645).

The spelling of 212320422214433 in words is "two hundred twelve trillion, three hundred twenty billion, four hundred twenty-two million, two hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 13 17 61 169 221 793 829 1037 2873 10309 10777 13481 14093 50569 140101 175253 183209 657397 859673 1461409 2381717 8546161 11175749 18998317 24843953 89145949 145284737 246978121 322971389 1158897337 1211508061 1515481133 4198628057 15065665381 15749604793 19701254729 20595637037 73901991721 204744862309 256116311477 267743281481 960725892373 1256333859257 3480662659253 12489436600849 16332340170341 212320422214433