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1032320112201 = 327374439531049
BaseRepresentation
bin11110000010110110001…
…00101101011001001001
310122200121011102020110200
433001123010231121021
5113403142422042301
62110124042402413
7134403566113260
oct17013304553111
93580534366420
101032320112201
11368893877624
121480a1b00409
13764692282a1
1437d70a775d7
151bcbddd5c86
hexf05b12d649

1032320112201 has 96 divisors (see below), whose sum is σ = 1757670969600. Its totient is φ = 571512195072.

The previous prime is 1032320112191. The next prime is 1032320112209. The reversal of 1032320112201 is 1022110232301.

1032320112201 is a `hidden beast` number, since 1 + 0 + 32 + 320 + 112 + 201 = 666.

It is not a de Polignac number, because 1032320112201 - 25 = 1032320112169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1032320112209) 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 95 ways as a sum of consecutive naturals, for example, 984098725 + ... + 984099773.

It is an arithmetic number, because the mean of its divisors is an integer number (18309072600).

Almost surely, 21032320112201 is an apocalyptic number.

It is an amenable number.

1032320112201 is a deficient number, since it is larger than the sum of its proper divisors (725350857399).

1032320112201 is a wasteful number, since it uses less digits than its factorization.

1032320112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1032320112201 its reverse (1022110232301), we get a palindrome (2054430344502).

The spelling of 1032320112201 in words is "one trillion, thirty-two billion, three hundred twenty million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 7 9 21 37 63 111 259 333 443 777 953 1049 1329 2331 2859 3101 3147 3987 6671 7343 8577 9303 9441 16391 20013 22029 27909 35261 38813 49173 60039 66087 105783 114737 116439 147519 246827 271691 317349 344211 349317 422179 464707 740481 815073 999697 1032633 1266537 1394121 2221443 2445219 2955253 2999091 3252949 3799611 4182363 6997879 8865759 8997273 9758847 15620623 17194159 20993637 26597277 29276541 36988789 46861869 51582477 62980911 109344361 110966367 120359113 140585607 154747431 258921523 328033083 332899101 361077339 442865771 776764569 984099249 1083232017 1328597313 2330293707 3100060397 3985791939 9300181191 16386033527 27900543573 49158100581 114702234689 147474301743 344106704067 1032320112201