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213232132305 = 32583313718199
BaseRepresentation
bin1100011010010110100…
…0000010000011010001
3202101101111212122121200
43012211220002003101
511443144411213210
6241542452341413
721256043135133
oct3064550020321
9671344778550
10213232132305
1182481a86035
12353ab014869
131715281886a
14a46b5d5053
15582ee7b0c0
hex31a5a020d1

213232132305 has 48 divisors (see below), whose sum is σ = 374195203200. Its totient is φ = 112311650304.

The previous prime is 213232132277. The next prime is 213232132307. The reversal of 213232132305 is 503231232312.

It is a happy number.

213232132305 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 321 + 32 + 305 = 666.

It is not a de Polignac number, because 213232132305 - 25 = 213232132273 is a prime.

It is a super-2 number, since 2×2132321323052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213232132307) 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, 11707596 + ... + 11725794.

It is an arithmetic number, because the mean of its divisors is an integer number (7795733400).

Almost surely, 2213232132305 is an apocalyptic number.

It is an amenable number.

213232132305 is a deficient number, since it is larger than the sum of its proper divisors (160963070895).

213232132305 is a wasteful number, since it uses less digits than its factorization.

213232132305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21430 (or 21427 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 213232132305 its reverse (503231232312), we get a palindrome (716463364617).

The spelling of 213232132305 in words is "two hundred thirteen billion, two hundred thirty-two million, one hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 45 83 249 415 747 1245 3137 3735 9411 15685 18199 28233 47055 54597 90995 141165 163791 260371 272985 781113 818955 1301855 1510517 2343339 3905565 4531551 7552585 11716695 13594653 22657755 57090263 67973265 171270789 285451315 513812367 856353945 2569061835 4738491829 14215475487 23692459145 42646426461 71077377435 213232132305