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1320111302020 = 2257229346113421
BaseRepresentation
bin10011001101011100110…
…000111110010110000100
311200012102211022110010221
4103031130300332112010
5133112041443131040
62450241210354124
7164242405632100
oct23153460762604
94605384273127
101320111302020
11469946462055
12193a1a72b944
1397641871c54
1447c72564900
152451482974a
hex1335cc3e584

1320111302020 has 144 divisors (see below), whose sum is σ = 3337257354480. Its totient is φ = 436843545600.

The previous prime is 1320111301997. The next prime is 1320111302033. The reversal of 1320111302020 is 202031110231.

It can be written as a sum of positive squares in 8 ways, for example, as 3364232004 + 1316747070016 = 58002^2 + 1147496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1320111301985 and 1320111302003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98354910 + ... + 98368330.

It is an arithmetic number, because the mean of its divisors is an integer number (23175398295).

Almost surely, 21320111302020 is an apocalyptic number.

1320111302020 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 1320111302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668628677240).

1320111302020 is an abundant number, since it is smaller than the sum of its proper divisors (2017146052460).

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

1320111302020 is a wasteful number, since it uses less digits than its factorization.

1320111302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16934 (or 16925 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1320111302020 its reverse (202031110231), we get a palindrome (1522142412251).

The spelling of 1320111302020 in words is "one trillion, three hundred twenty billion, one hundred eleven million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 3461 4060 5684 6922 7105 13421 13844 14210 17305 24227 26842 28420 34610 48454 53684 67105 69220 93947 96908 100369 121135 134210 169589 187894 200738 242270 268420 339178 375788 389209 401476 469735 484540 501845 657629 678356 702583 778418 847945 939470 1003690 1315258 1405166 1556836 1695890 1878940 1946045 2007380 2630516 2724463 2810332 3288145 3391780 3512915 3892090 4918081 5448926 6576290 7025830 7784180 9836162 10897852 13152580 13622315 14051660 19071241 19672324 24590405 27244630 38142482 46450081 49180810 54489260 76284964 92900162 95356205 98361620 185800324 190712410 232250405 325150567 381424820 464500810 650301134 929001620 1300602268 1347052349 1625752835 2276053969 2694104698 3251505670 4552107938 5388209396 6503011340 6735261745 9104215876 9429366443 11380269845 13470523490 18858732886 22760539690 26941046980 37717465772 45521079380 47146832215 66005565101 94293664430 132011130202 188587328860 264022260404 330027825505 660055651010 1320111302020