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10320224220144 = 243323889407917
BaseRepresentation
bin1001011000101101110101…
…0011000111001111110000
31100112121022011121010001000
42112023131103013033300
52323041304400021034
633541013501242000
72113416530324616
oct226133523071760
940477264533030
1010320224220144
113319867585243
1211a8166263300
1359b267c492a7
142797042416b6
1512d6bcdad599
hex962dd4c73f0

10320224220144 has 40 divisors (see below), whose sum is σ = 29622865818320. Its totient is φ = 3440074739904.

The previous prime is 10320224220139. The next prime is 10320224220193. The reversal of 10320224220144 is 44102242202301.

It is a happy number.

10320224220144 is a `hidden beast` number, since 10 + 3 + 202 + 242 + 201 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11944703527 + ... + 11944704390.

It is an arithmetic number, because the mean of its divisors is an integer number (740571645458).

Almost surely, 210320224220144 is an apocalyptic number.

It is an amenable number.

10320224220144 is an abundant number, since it is smaller than the sum of its proper divisors (19302641598176).

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

10320224220144 is a wasteful number, since it uses less digits than its factorization.

10320224220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23889407934 (or 23889407922 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10320224220144 its reverse (44102242202301), we get a palindrome (54422466422445).

The spelling of 10320224220144 in words is "ten trillion, three hundred twenty billion, two hundred twenty-four million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 23889407917 47778815834 71668223751 95557631668 143336447502 191115263336 215004671253 286672895004 382230526672 430009342506 573345790008 645014013759 860018685012 1146691580016 1290028027518 1720037370024 2580056055036 3440074740048 5160112110072 10320224220144