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1322320213312 = 26731235140499
BaseRepresentation
bin10011001111100000011…
…011010011010101000000
311200102010202202202210021
4103033200123103111000
5133131102433311222
62451244315143224
7164351220234520
oct23174033232500
94612122682707
101322320213312
1146a87a31887a
12194336444b14
13979043a3757
1448001a81680
15245e3706ac7
hex133e06d3540

1322320213312 has 112 divisors (see below), whose sum is σ = 3096963072000. Its totient is φ = 548180928000.

The previous prime is 1322320213297. The next prime is 1322320213321. The reversal of 1322320213312 is 2133120232231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32630439 + ... + 32670937.

It is an arithmetic number, because the mean of its divisors is an integer number (27651456000).

Almost surely, 21322320213312 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 1322320213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548481536000).

1322320213312 is an abundant number, since it is smaller than the sum of its proper divisors (1774642858688).

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

1322320213312 is a wasteful number, since it uses less digits than its factorization.

1322320213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42900 (or 42890 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1322320213312 its reverse (2133120232231), we get a palindrome (3455440445543).

The spelling of 1322320213312 in words is "one trillion, three hundred twenty-two billion, three hundred twenty million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 2351 3472 4702 6944 9404 13888 16457 18808 32914 37616 40499 65828 72881 75232 80998 131656 145762 150464 161996 263312 283493 291524 323992 510167 526624 566986 583048 647984 1020334 1053248 1133972 1166096 1255469 1295968 2040668 2267944 2332192 2510938 2591936 4081336 4535888 4664384 5021876 8162672 8788283 9071776 10043752 16325344 17576566 18143552 20087504 32650688 35153132 40175008 70306264 80350016 95213149 140612528 190426298 281225056 380852596 562450112 666492043 761705192 1332984086 1523410384 2665968172 2951607619 3046820768 5331936344 5903215238 6093641536 10663872688 11806430476 20661253333 21327745376 23612860952 41322506666 42655490752 47225721904 82645013332 94451443808 165290026664 188902887616 330580053328 661160106656 1322320213312