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321113213130 = 235371571842619
BaseRepresentation
bin1001010110000111101…
…01101100100011001010
31010200211221011101022210
410223003311230203022
520230114440310010
6403303430325550
732125325163513
oct4530365544312
91120757141283
10321113213130
11114202045876
12522981b98b6
1324386032428
1411783205a0a
158546020b20
hex4ac3d6c8ca

321113213130 has 64 divisors (see below), whose sum is σ = 796542514560. Its totient is φ = 82785141504.

The previous prime is 321113213111. The next prime is 321113213137. The reversal of 321113213130 is 31312311123.

It is a happy number.

It is a super-3 number, since 3×3211132131303 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 321113213097 and 321113213106.

It is not an unprimeable number, because it can be changed into a prime (321113213137) 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 31 ways as a sum of consecutive naturals, for example, 747040 + ... + 1095579.

It is an arithmetic number, because the mean of its divisors is an integer number (12445976790).

Almost surely, 2321113213130 is an apocalyptic number.

321113213130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

321113213130 is an abundant number, since it is smaller than the sum of its proper divisors (475429301430).

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

321113213130 is a wasteful number, since it uses less digits than its factorization.

321113213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842823.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 321113213130 its reverse (31312311123), we get a palindrome (352425524253).

The spelling of 321113213130 in words is "three hundred twenty-one billion, one hundred thirteen million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 157 185 222 314 370 471 555 785 942 1110 1570 2355 4710 5809 11618 17427 29045 34854 58090 87135 174270 1842619 3685238 5527857 9213095 11055714 18426190 27639285 55278570 68176903 136353806 204530709 289291183 340884515 409061418 578582366 681769030 867873549 1022653545 1446455915 1735747098 2045307090 2892911830 4339367745 8678735490 10703773771 21407547542 32111321313 53518868855 64222642626 107037737710 160556606565 321113213130