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321213313332 = 223279112944203
BaseRepresentation
bin1001010110010011100…
…11100011000100110100
31010201002220111222222200
410223021303203010310
520230321102011312
6403321404024500
732130652054032
oct4531163430464
91121086458880
10321213313332
111142535a560a
1252305832130
13243a09ac712
1411792621552
15854ebe50dc
hex4ac9ce3134

321213313332 has 36 divisors (see below), whose sum is σ = 822233805120. Its totient is φ = 105715773072.

The previous prime is 321213313327. The next prime is 321213313363. The reversal of 321213313332 is 233313312123.

321213313332 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 13 + 313 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 321213313296 and 321213313305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56469258 + ... + 56474945.

It is an arithmetic number, because the mean of its divisors is an integer number (22839827920).

Almost surely, 2321213313332 is an apocalyptic number.

It is an amenable number.

321213313332 is an abundant number, since it is smaller than the sum of its proper divisors (501020491788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321213313332 is a wasteful number, since it uses less digits than its factorization.

321213313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112944292 (or 112944287 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 321213313332 its reverse (233313312123), we get a palindrome (554526625455).

The spelling of 321213313332 in words is "three hundred twenty-one billion, two hundred thirteen million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 112944203 225888406 338832609 451776812 677665218 1016497827 1355330436 2032995654 4065991308 8922592037 17845184074 26767776111 35690368148 53535552222 80303328333 107071104444 160606656666 321213313332