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3003122320 = 2451131310903
BaseRepresentation
bin1011001100000000…
…0000001010010000
321202021220102100121
42303000000022100
522122244403240
61213555200024
7134264055442
oct26300001220
97667812317
103003122320
111301203280
126b98a6014
1338b238773
14206bba492
151289ae04a
hexb3000290

3003122320 has 80 divisors (see below), whose sum is σ = 7642046592. Its totient is φ = 1088455680.

The previous prime is 3003122299. The next prime is 3003122323. The reversal of 3003122320 is 232213003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3003122294 and 3003122303.

It is not an unprimeable number, because it can be changed into a prime (3003122323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269989 + ... + 280891.

Almost surely, 23003122320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821023296).

3003122320 is an abundant number, since it is smaller than the sum of its proper divisors (4638924272).

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

3003122320 is a wasteful number, since it uses less digits than its factorization.

3003122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11240 (or 11234 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3003122320 is about 54800.7510897433. The cubic root of 3003122320 is about 1442.7497484544.

Adding to 3003122320 its reverse (232213003), we get a palindrome (3235335323).

It can be divided in two parts, 3003 and 122320, that multiplied together give a triangular number (367326960 = T27104).

The spelling of 3003122320 in words is "three billion, three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 313 440 626 880 1252 1565 2504 3130 3443 5008 6260 6886 10903 12520 13772 17215 21806 25040 27544 34430 43612 54515 55088 68860 87224 109030 119933 137720 174448 218060 239866 275440 436120 479732 599665 872240 959464 1199330 1918928 2398660 3412639 4797320 6825278 9594640 13650556 17063195 27301112 34126390 37539029 54602224 68252780 75078058 136505560 150156116 187695145 273011120 300312232 375390290 600624464 750780580 1501561160 3003122320