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321213312121 = 13173672139581
BaseRepresentation
bin1001010110010011100…
…11100010110001111001
31010201002220111221022211
410223021303202301321
520230321101441441
6403321404015121
732130652050352
oct4531163426171
91121086457284
10321213312121
111142535a4709
12523058314a1
13243a09abcc0
1411792620d29
15854ebe4a81
hex4ac9ce2c79

321213312121 has 16 divisors (see below), whose sum is σ = 366289611408. Its totient is φ = 279048499200.

The previous prime is 321213312023. The next prime is 321213312187. The reversal of 321213312121 is 121213312123.

It can be written as a sum of positive squares in 8 ways, for example, as 36735088896 + 284478223225 = 191664^2 + 533365^2 .

It is not a de Polignac number, because 321213312121 - 29 = 321213311609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321213312092 and 321213312101.

It is not an unprimeable number, because it can be changed into a prime (321213312421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8095551 + ... + 8135131.

It is an arithmetic number, because the mean of its divisors is an integer number (22893100713).

Almost surely, 2321213312121 is an apocalyptic number.

It is an amenable number.

321213312121 is a deficient number, since it is larger than the sum of its proper divisors (45076299287).

321213312121 is a wasteful number, since it uses less digits than its factorization.

321213312121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76332.

The product of its digits is 432, while the sum is 22.

Adding to 321213312121 its reverse (121213312123), we get a palindrome (442426624244).

The spelling of 321213312121 in words is "three hundred twenty-one billion, two hundred thirteen million, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 13 17 221 36721 39581 477373 514553 624257 672877 8115341 8747401 1453453901 18894900713 24708716317 321213312121