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1321323122320 = 245109869917419
BaseRepresentation
bin10011001110100100111…
…111101100111010010000
311200022120021120022002021
4103032210333230322100
5133122032204403240
62451001340101224
7164314422140635
oct23164477547220
94608507508067
101321323122320
1146a408501633
121940b8534814
13977a5944696
1447d4949018c
1524585dec54a
hex133a4fece90

1321323122320 has 80 divisors (see below), whose sum is σ = 3100794840000. Its totient is φ = 523590096384.

The previous prime is 1321323122309. The next prime is 1321323122347. The reversal of 1321323122320 is 232213231231.

It is a tau number, because it is divible by the number of its divisors (80).

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, 75846571 + ... + 75863989.

It is an arithmetic number, because the mean of its divisors is an integer number (38759935500).

Almost surely, 21321323122320 is an apocalyptic number.

1321323122320 is a gapful number since it is divisible by the number (10) 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 1321323122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550397420000).

1321323122320 is an abundant number, since it is smaller than the sum of its proper divisors (1779471717680).

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

1321323122320 is a wasteful number, since it uses less digits than its factorization.

1321323122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26240 (or 26234 counting only the distinct ones).

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

Adding to 1321323122320 its reverse (232213231231), we get a palindrome (1553536353551).

The spelling of 1321323122320 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8699 8720 17398 17419 34796 34838 43495 69592 69676 86990 87095 139184 139352 173980 174190 278704 347960 348380 695920 696760 948191 1393520 1896382 1898671 3792764 3797342 4740955 7585528 7594684 9481910 9493355 15171056 15189368 18963820 18986710 30378736 37927640 37973420 75855280 75946840 151527881 151893680 303055762 606111524 757639405 1212223048 1515278810 2424446096 3030557620 6061115240 12122230480 16516539029 33033078058 66066156116 82582695145 132132312232 165165390290 264264624464 330330780580 660661561160 1321323122320