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1325320613320 = 2351122557107089
BaseRepresentation
bin10011010010010011010…
…000111010110111001000
311200200212212112212211111
4103102103100322313020
5133203224034111240
62452502140140104
7164515452224434
oct23222320726710
94620785485744
101325320613320
11471079a31800
12194a33237634
1397c91b98082
144820834d9c4
152471bd291ea
hex1349343adc8

1325320613320 has 96 divisors (see below), whose sum is σ = 3279016553400. Its totient is φ = 481741793280.

The previous prime is 1325320613317. The next prime is 1325320613321. The reversal of 1325320613320 is 233160235231.

It can be written as a sum of positive squares in 4 ways, for example, as 731302046244 + 594018567076 = 855162^2 + 770726^2 .

It is a super-2 number, since 2×13253206133202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1325320613321) 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 23 ways as a sum of consecutive naturals, for example, 12322336 + ... + 12429424.

Almost surely, 21325320613320 is an apocalyptic number.

1325320613320 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 1325320613320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639508276700).

1325320613320 is an abundant number, since it is smaller than the sum of its proper divisors (1953695940080).

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

1325320613320 is a wasteful number, since it uses less digits than its factorization.

1325320613320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109679 (or 109664 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 1325320613320 its reverse (233160235231), we get a palindrome (1558480848551).

The spelling of 1325320613320 in words is "one trillion, three hundred twenty-five billion, three hundred twenty million, six hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 2557 4840 5114 10228 12785 20456 25570 28127 51140 56254 102280 107089 112508 140635 214178 225016 281270 309397 428356 535445 562540 618794 856712 1070890 1125080 1177979 1237588 1546985 2141780 2355958 2475176 3093970 4283560 4711916 5889895 6187940 9423832 11779790 12375880 12957769 23559580 25915538 47119160 51831076 64788845 103662152 129577690 259155380 273826573 518310760 547653146 1095306292 1369132865 2190612584 2738265730 3012092303 5476531460 6024184606 10953062920 12048369212 15060461515 24096738424 30120923030 33133015333 60241846060 66266030666 120483692120 132532061332 165665076665 265064122664 331330153330 662660306660 1325320613320