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1320113200220 = 2251717359337847
BaseRepresentation
bin10011001101011100111…
…000001101110001011100
311200012102221212212222122
4103031130320031301130
5133112042434401340
62450241315202112
7164242431026153
oct23153470156134
94605387785878
101320113200220
11469947539211
12193a1b2a6338
1397642087c49
1447c728da59a
1524514aa1db5
hex1335ce0dc5c

1320113200220 has 96 divisors (see below), whose sum is σ = 2957334323328. Its totient is φ = 493264781312.

The previous prime is 1320113200123. The next prime is 1320113200249. The reversal of 1320113200220 is 220023110231.

It is a super-2 number, since 2×13201132002202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 34861337 + ... + 34899183.

It is an arithmetic number, because the mean of its divisors is an integer number (30805565868).

Almost surely, 21320113200220 is an apocalyptic number.

1320113200220 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 1320113200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478667161664).

1320113200220 is an abundant number, since it is smaller than the sum of its proper divisors (1637221123108).

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

1320113200220 is a wasteful number, since it uses less digits than its factorization.

1320113200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38639 (or 38637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1320113200220 its reverse (220023110231), we get a palindrome (1540136310451).

The spelling of 1320113200220 in words is "one trillion, three hundred twenty billion, one hundred thirteen million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 173 340 346 593 692 865 1186 1730 2372 2941 2965 3460 5882 5930 10081 11764 11860 14705 20162 29410 37847 40324 50405 58820 75694 100810 102589 151388 189235 201620 205178 378470 410356 512945 643399 756940 1025890 1286798 1744013 2051780 2573596 3216995 3488026 6433990 6547531 6976052 8720065 12867980 13095062 17440130 22443271 26190124 32737655 34880260 44886542 65475310 89773084 111308027 112216355 130950620 222616054 224432710 381535607 445232108 448865420 556540135 763071214 1113080270 1526142428 1907678035 2226160540 3815356070 3882685883 7630712140 7765371766 15530743532 19413429415 38826858830 66005660011 77653717660 132011320022 264022640044 330028300055 660056600110 1320113200220