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1321002312 = 2337431071709
BaseRepresentation
bin100111010111100…
…1110010101001000
310102001200212111120
41032233032111020
510201134033222
6335025355240
744510222460
oct11657162510
93361625446
101321002312
11618742653
1230a498b20
131808ac696
14c762aba0
157ae8d15c
hex4ebce548

1321002312 has 128 divisors (see below), whose sum is σ = 3900441600. Its totient is φ = 364992768.

The previous prime is 1321002307. The next prime is 1321002337. The reversal of 1321002312 is 2132001231.

1321002312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1321002291 and 1321002300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772114 + ... + 773822.

It is an arithmetic number, because the mean of its divisors is an integer number (30472200).

Almost surely, 21321002312 is an apocalyptic number.

1321002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950220800).

1321002312 is an abundant number, since it is smaller than the sum of its proper divisors (2579439288).

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

1321002312 is a wasteful number, since it uses less digits than its factorization.

1321002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1321002312 is about 36345.5954965660. The cubic root of 1321002312 is about 1097.2388911203.

Adding to 1321002312 its reverse (2132001231), we get a palindrome (3453003543).

The spelling of 1321002312 in words is "one billion, three hundred twenty-one million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 107 129 168 172 214 258 301 321 344 428 516 602 642 749 856 903 1032 1204 1284 1498 1709 1806 2247 2408 2568 2996 3418 3612 4494 4601 5127 5992 6836 7224 8988 9202 10254 11963 13672 13803 17976 18404 20508 23926 27606 32207 35889 36808 41016 47852 55212 64414 71778 73487 95704 96621 110424 128828 143556 146974 182863 193242 220461 257656 287112 293948 365726 386484 440922 514409 548589 587896 731452 772968 881844 1028818 1097178 1280041 1462904 1543227 1763688 2057636 2194356 2560082 3086454 3840123 4115272 4388712 5120164 6172908 7680246 7863109 10240328 12345816 15360492 15726218 23589327 30720984 31452436 47178654 55041763 62904872 94357308 110083526 165125289 188714616 220167052 330250578 440334104 660501156 1321002312