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321403032312 = 233317118313323
BaseRepresentation
bin1001010110101010001…
…11010001001011111000
31010201121010111201111120
410223111013101023320
520231213134013222
6403352302225240
732135444461425
oct4532507211370
91121533451446
10321403032312
111143406a625a
1252359285220
13244010a727b
14117ad8c8d4c
1585616bd15c
hex4ad51d12f8

321403032312 has 128 divisors (see below), whose sum is σ = 841821880320. Its totient is φ = 102131568000.

The previous prime is 321403032259. The next prime is 321403032323. The reversal of 321403032312 is 213230304123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 96719083 + ... + 96722405.

It is an arithmetic number, because the mean of its divisors is an integer number (6576733440).

Almost surely, 2321403032312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321403032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420910940160).

321403032312 is an abundant number, since it is smaller than the sum of its proper divisors (520418848008).

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

321403032312 is a wasteful number, since it uses less digits than its factorization.

321403032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 321403032312 its reverse (213230304123), we get a palindrome (534633336435).

The spelling of 321403032312 in words is "three hundred twenty-one billion, four hundred three million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 248 284 372 426 568 744 852 1704 1831 2201 3323 3662 4402 5493 6603 6646 7324 8804 9969 10986 13206 13292 14648 17608 19938 21972 26412 26584 39876 43944 52824 56761 79752 103013 113522 130001 170283 206026 227044 235933 260002 309039 340566 390003 412052 454088 471866 520004 618078 681132 707799 780006 824104 943732 1040008 1236156 1362264 1415598 1560012 1887464 2472312 2831196 3120024 4030031 5662392 6084413 7313923 8060062 12090093 12168826 14627846 16120124 18253239 21941769 24180186 24337652 29255692 32240248 36506478 43883538 48360372 48675304 58511384 73012956 87767076 96720744 146025912 175534152 188616803 377233606 431993323 565850409 754467212 863986646 1131700818 1295979969 1508934424 1727973292 2263401636 2591959938 3455946584 4526803272 5183919876 10367839752 13391793013 26783586026 40175379039 53567172052 80350758078 107134344104 160701516156 321403032312