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3002201010 = 23456160761
BaseRepresentation
bin1011001011110001…
…1111001110110010
321202020011121120000
42302330133032302
522122030413020
61213523330430
7134253200424
oct26274371662
97666147500
103002201010
111300734066
126b9520a16
1338aca5303
14206a1a814
1512887b090
hexb2f1f3b2

3002201010 has 80 divisors (see below), whose sum is σ = 8205057432. Its totient is φ = 787449600.

The previous prime is 3002200967. The next prime is 3002201011. The reversal of 3002201010 is 101022003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2272714929 + 729486081 = 47673^2 + 27009^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3002200983 and 3002201001.

It is not an unprimeable number, because it can be changed into a prime (3002201011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19030 + ... + 79790.

Almost surely, 23002201010 is an apocalyptic number.

3002201010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102528716).

3002201010 is an abundant number, since it is smaller than the sum of its proper divisors (5202856422).

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

3002201010 is a wasteful number, since it uses less digits than its factorization.

3002201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60841 (or 60832 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3002201010 is about 54792.3444470119. The cubic root of 3002201010 is about 1442.6021958320.

Adding to 3002201010 its reverse (101022003), we get a palindrome (3103223013).

The spelling of 3002201010 in words is "three billion, two million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 549 610 810 915 1098 1647 1830 2745 3294 4941 5490 8235 9882 16470 24705 49410 60761 121522 182283 303805 364566 546849 607610 911415 1093698 1640547 1822830 2734245 3281094 3706421 4921641 5468490 7412842 8202735 9843282 11119263 16405470 18532105 22238526 24608205 33357789 37064210 49216410 55596315 66715578 100073367 111192630 166788945 200146734 300220101 333577890 500366835 600440202 1000733670 1501100505 3002201010