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213332140122201 = 321729152947314359
BaseRepresentation
bin110000100000011001000010…
…011011100110000001011001
31000222100100112122100222201100
4300200121002123212001121
5210430213210332402301
62033415233205342013
762635511206462002
oct6040310233460131
91028310478328640
10213332140122201
1161a7971a5a5901
121bb15246107909
139206199636189
143a9748b5281a9
15199e3d284e286
hexc206426e6059

213332140122201 has 48 divisors (see below), whose sum is σ = 337526747625600. Its totient is φ = 129238498819584.

The previous prime is 213332140122191. The next prime is 213332140122221. The reversal of 213332140122201 is 102221041233312.

213332140122201 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 32 + 1 + 401 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 213332140122201 - 218 = 213332139860057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213332140122221) 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, 678468660 + ... + 678783018.

It is an arithmetic number, because the mean of its divisors is an integer number (7031807242200).

Almost surely, 2213332140122201 is an apocalyptic number.

It is an amenable number.

213332140122201 is a deficient number, since it is larger than the sum of its proper divisors (124194607503399).

213332140122201 is a wasteful number, since it uses less digits than its factorization.

213332140122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467358 (or 467355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213332140122201 its reverse (102221041233312), we get a palindrome (315553181355513).

The spelling of 213332140122201 in words is "two hundred thirteen trillion, three hundred thirty-two billion, one hundred forty million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 152947 314359 458841 943077 1376523 2600099 2829231 4435463 5344103 7800297 9116411 13306389 16032309 23400891 27349233 39919167 48096927 75402871 82047699 154978987 226208613 464936961 678625839 1394810883 48080265973 144240797919 432722393757 817364521541 1394327713217 2452093564623 4182983139651 7356280693869 12548949418953 23703571124689 71110713374067 213332140122201