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3001123020 = 2235731230501
BaseRepresentation
bin1011001011100001…
…1000000011001100
321202011010211211110
42302320120003030
522121241414040
61213444252020
7134241060540
oct26270300314
97664124743
103001123020
111300068165
126b90a1010
1338a9b874c
14206819a20
15128716980
hexb2e180cc

3001123020 has 96 divisors (see below), whose sum is σ = 9913430016. Its totient is φ = 663840000.

The previous prime is 3001123003. The next prime is 3001123031. The reversal of 3001123020 is 203211003.

It is a happy number.

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 = 3001122987 and 3001123005.

It is an unprimeable number.

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, 102231 + ... + 128270.

It is an arithmetic number, because the mean of its divisors is an integer number (103264896).

Almost surely, 23001123020 is an apocalyptic number.

3001123020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001123020 is an abundant number, since it is smaller than the sum of its proper divisors (6912306996).

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

3001123020 is a wasteful number, since it uses less digits than its factorization.

3001123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230551 (or 230549 counting only the distinct ones).

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

The square root of 3001123020 is about 54782.5065143975. The cubic root of 3001123020 is about 1442.4295117576.

Adding to 3001123020 its reverse (203211003), we get a palindrome (3204334023).

The spelling of 3001123020 in words is "three billion, one million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 230501 461002 691503 922004 1152505 1383006 1613507 2305010 2766012 3227014 3457515 4610020 4840521 6454028 6915030 7145531 8067535 9681042 13830060 14291062 16135070 19362084 21436593 24202605 28582124 32270140 35727655 42873186 48405210 50018717 71455310 85746372 96810420 100037434 107182965 142910620 150056151 200074868 214365930 250093585 300112302 428731860 500187170 600224604 750280755 1000374340 1500561510 3001123020