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1122213220320 = 2535732438721
BaseRepresentation
bin10000010101001001000…
…111101100111111100000
310222021121222011021111110
4100111021013230333200
5121341243041022240
62215312043543320
7144035326661553
oct20251107547740
93867558137443
101122213220320
113a2a2311a215
121615aab2ab40
1381a93b62b1a
143c45b6ac69a
151e2d0b9ac80
hex105491ecfe0

1122213220320 has 144 divisors (see below), whose sum is σ = 3584067428592. Its totient is φ = 295156776960.

The previous prime is 1122213220301. The next prime is 1122213220321. The reversal of 1122213220320 is 230223122211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122213220321) 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, 2338560 + ... + 2777280.

It is an arithmetic number, because the mean of its divisors is an integer number (24889357143).

Almost surely, 21122213220320 is an apocalyptic number.

1122213220320 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 1122213220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792033714296).

1122213220320 is an abundant number, since it is smaller than the sum of its proper divisors (2461854208272).

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

1122213220320 is an equidigital number, since it uses as much as digits as its factorization.

1122213220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438885 (or 438804 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1122213220320 its reverse (230223122211), we get a palindrome (1352436342531).

The spelling of 1122213220320 in words is "one trillion, one hundred twenty-two billion, two hundred thirteen million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2190 2336 2920 3504 4380 5329 5840 7008 8760 10658 11680 15987 17520 21316 26645 31974 35040 42632 53290 63948 79935 85264 106580 127896 159870 170528 213160 255792 319740 426320 438721 511584 639480 852640 877442 1278960 1316163 1754884 2193605 2557920 2632326 3509768 4387210 5264652 6580815 7019536 8774420 10529304 13161630 14039072 17548840 21058608 26323260 32026633 35097680 42117216 52646520 64053266 70195360 96079899 105293040 128106532 160133165 192159798 210586080 256213064 320266330 384319596 480399495 512426128 640532660 768639192 960798990 1024852256 1281065320 1537278384 1921597980 2337944209 2562130640 3074556768 3843195960 4675888418 5124261280 7013832627 7686391920 9351776836 11689721045 14027665254 15372783840 18703553672 23379442090 28055330508 35069163135 37407107344 46758884180 56110661016 70138326270 74814214688 93517768360 112221322032 140276652540 187035536720 224442644064 280553305080 374071073440 561106610160 1122213220320