Search a number
-
+
302201022012 = 2231913714716577
BaseRepresentation
bin1000110010111001001…
…01011010011000111100
31001220000220112112022220
410121130211122120330
514422401430201022
6350455040405340
730555552206211
oct4313445323074
91056026475286
10302201022012
1110718766475a
124a69a616850
1322660b2a4b6
14108ab5a7b08
157cdaa2d85c
hex465c95a63c

302201022012 has 96 divisors (see below), whose sum is σ = 748288020480. Its totient is φ = 94656522240.

The previous prime is 302201022007. The next prime is 302201022017. The reversal of 302201022012 is 210220102203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (302201022007) and next prime (302201022017).

It is a junction number, because it is equal to n+sod(n) for n = 302201021982 and 302201022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302201022017) 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 31 ways as a sum of consecutive naturals, for example, 45944868 + ... + 45951444.

It is an arithmetic number, because the mean of its divisors is an integer number (7794666880).

Almost surely, 2302201022012 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 302201022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374144010240).

302201022012 is an abundant number, since it is smaller than the sum of its proper divisors (446086998468).

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

302201022012 is a wasteful number, since it uses less digits than its factorization.

302201022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 302201022012 its reverse (210220102203), we get a palindrome (512421124215).

It can be divided in two parts, 30220102201 and 2, that added together give a palindrome (30220102203).

The spelling of 302201022012 in words is "three hundred two billion, two hundred one million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1471 1644 2603 2942 4413 5206 5884 6577 7809 8826 10412 13154 15618 17652 19731 26308 27949 31236 39462 55898 78924 83847 111796 124963 167694 201527 249926 335388 374889 403054 499852 604581 749778 806108 901049 1209162 1499556 1802098 2418324 2703147 3604196 3829013 5406294 7658026 9674767 10812588 11487039 15316052 17119931 19349534 22974078 29024301 34239862 38699068 45948156 51359793 58048602 68479724 102719586 116097204 183820573 205439172 367641146 551461719 735282292 1102923438 1325443079 2205846876 2650886158 3976329237 5301772316 7952658474 15905316948 25183418501 50366837002 75550255503 100733674004 151100511006 302201022012