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3130212321 = 323137353859
BaseRepresentation
bin1011101010010011…
…0011111111100001
322002011001021001200
42322210303333201
522402313243241
61234335151413
7140366236305
oct27244637741
98064037050
103130212321
111366a17935
12734375569
133ab675852
14219a1dd05
15134c154b6
hexba933fe1

3130212321 has 48 divisors (see below), whose sum is σ = 4812587520. Its totient is φ = 1957063680.

The previous prime is 3130212317. The next prime is 3130212331. The reversal of 3130212321 is 1232120313.

3130212321 is a `hidden beast` number, since 3 + 130 + 212 + 321 = 666.

It is not a de Polignac number, because 3130212321 - 22 = 3130212317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3130212294 and 3130212303.

It is not an unprimeable number, because it can be changed into a prime (3130212331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3643590 + ... + 3644448.

It is an arithmetic number, because the mean of its divisors is an integer number (100262240).

Almost surely, 23130212321 is an apocalyptic number.

3130212321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3130212321 is a deficient number, since it is larger than the sum of its proper divisors (1682375199).

3130212321 is a wasteful number, since it uses less digits than its factorization.

3130212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3130212321 is about 55948.3004299505. The cubic root of 3130212321 is about 1462.8212666128.

Adding to 3130212321 its reverse (1232120313), we get a palindrome (4362332634).

The spelling of 3130212321 in words is "three billion, one hundred thirty million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 31 37 93 111 279 333 353 859 1059 1147 2577 3177 3441 7731 10323 10943 13061 26629 31783 32829 39183 79887 95349 98487 117549 239661 286047 303227 404891 909681 985273 1214673 2729043 2955819 3644019 8867457 9400037 11219399 28200111 33658197 84600333 100974591 347801369 1043404107 3130212321