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9003122320 = 245671679687
BaseRepresentation
bin10000110001010000…
…01011111010010000
3212020102222000000211
420120220023322100
5121414244403240
64045212053504
7436051164013
oct103050137220
925212860024
109003122320
113900034065
1218b3164294
13b0630451a
146159c937a
1537a5e6bea
hex218a0be90

9003122320 has 40 divisors (see below), whose sum is σ = 21244693824. Its totient is φ = 3547496832.

The previous prime is 9003122257. The next prime is 9003122321. The reversal of 9003122320 is 232213009.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 9003122291 and 9003122300.

It is not an unprimeable number, because it can be changed into a prime (9003122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834484 + ... + 845203.

Almost surely, 29003122320 is an apocalyptic number.

It is an amenable number.

9003122320 is an abundant number, since it is smaller than the sum of its proper divisors (12241571504).

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

9003122320 is a wasteful number, since it uses less digits than its factorization.

9003122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679767 (or 1679761 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 9003122320 is about 94884.7844493520. The cubic root of 9003122320 is about 2080.3243392153.

Adding to 9003122320 its reverse (232213009), we get a palindrome (9235335329).

The spelling of 9003122320 in words is "nine billion, three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 1679687 3359374 6718748 8398435 13437496 16796870 26874992 33593740 67187480 112539029 134374960 225078058 450156116 562695145 900312232 1125390290 1800624464 2250780580 4501561160 9003122320