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213131202201 = 32317989108649
BaseRepresentation
bin1100011001111110011…
…1000000111010011001
3202101010110221212112200
43012133213000322121
511442443041432301
6241524445200413
721253406220231
oct3063747007231
9671113855480
10213131202201
1182430009825
1235381260109
131713793a8c8
14a45c040cc1
155826190c86
hex319f9c0e99

213131202201 has 48 divisors (see below), whose sum is σ = 325428480000. Its totient is φ = 134236776960.

The previous prime is 213131202187. The next prime is 213131202209. The reversal of 213131202201 is 102202131312.

213131202201 is a `hidden beast` number, since 2 + 131 + 312 + 0 + 220 + 1 = 666.

It is not a de Polignac number, because 213131202201 - 25 = 213131202169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213131202209) 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, 1907325 + ... + 2015973.

It is an arithmetic number, because the mean of its divisors is an integer number (6779760000).

Almost surely, 2213131202201 is an apocalyptic number.

It is an amenable number.

213131202201 is a deficient number, since it is larger than the sum of its proper divisors (112297277799).

213131202201 is a wasteful number, since it uses less digits than its factorization.

213131202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108854 (or 108851 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213131202201 its reverse (102202131312), we get a palindrome (315333333513).

The spelling of 213131202201 in words is "two hundred thirteen billion, one hundred thirty-one million, two hundred two thousand, two hundred one".

Divisors: 1 3 9 31 79 89 93 237 267 279 711 801 2449 2759 7031 7347 8277 21093 22041 24831 63279 108649 217961 325947 653883 977841 1961649 3368119 8583271 9669761 10104357 25749813 29009283 30313071 77249439 87027849 266081401 299762591 763911119 798244203 899287773 2291733357 2394732609 2697863319 6875200071 23681244689 71043734067 213131202201