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3001031220 = 22351119492333
BaseRepresentation
bin1011001011100000…
…0001101000110100
321202010222011220110
42302320001220310
522121230444340
61213442303020
7134240226105
oct26270015064
97663864813
103001031220
1113000051a0
126b9057a70
1338a985a25
142067d43ac
151286e9680
hexb2e01a34

3001031220 has 96 divisors (see below), whose sum is σ = 9175420800. Its totient is φ = 726837760.

The previous prime is 3001031219. The next prime is 3001031221. The reversal of 3001031220 is 221301003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3001031219) and next prime (3001031221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3001031196 and 3001031205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001031221) 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 31 ways as a sum of consecutive naturals, for example, 1285174 + ... + 1287506.

It is an arithmetic number, because the mean of its divisors is an integer number (95577300).

Almost surely, 23001031220 is an apocalyptic number.

3001031220 is a gapful number since it is divisible by the number (30) 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 3001031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587710400).

3001031220 is an abundant number, since it is smaller than the sum of its proper divisors (6174389580).

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

3001031220 is a wasteful number, since it uses less digits than its factorization.

3001031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3001031220 is about 54781.6686492845. The cubic root of 3001031220 is about 1442.4148043321.

Adding to 3001031220 its reverse (221301003), we get a palindrome (3222332223).

The spelling of 3001031220 in words is "three billion, one million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1949 2333 3898 4666 5847 6999 7796 9332 9745 11665 11694 13998 19490 21439 23330 23388 25663 27996 29235 34995 38980 42878 46660 51326 58470 64317 69990 76989 85756 102652 107195 116940 128315 128634 139980 153978 214390 256630 257268 307956 321585 384945 428780 513260 643170 769890 1286340 1539780 4547017 9094034 13641051 18188068 22735085 27282102 45470170 50017187 54564204 68205255 90940340 100034374 136410510 150051561 200068748 250085935 272821020 300103122 500171870 600206244 750257805 1000343740 1500515610 3001031220