Search a number
-
+
12203053152 = 253177477361
BaseRepresentation
bin10110101110101101…
…11101000001100000
31011111110012022220120
423113112331001200
5144442440200102
65334521440240
7611255145303
oct132726750140
934443168816
1012203053152
1151a233a4a4
122446940080
1311c624a714
1483a996b3a
154b64ce6bc
hex2d75bd060

12203053152 has 48 divisors (see below), whose sum is σ = 33917314032. Its totient is φ = 3828408320.

The previous prime is 12203053151. The next prime is 12203053153. The reversal of 12203053152 is 25135030221.

It is a happy number.

12203053152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12203053151) and next prime (12203053153).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203053151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3737049 + ... + 3740312.

It is an arithmetic number, because the mean of its divisors is an integer number (706610709).

Almost surely, 212203053152 is an apocalyptic number.

12203053152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12203053152 is an abundant number, since it is smaller than the sum of its proper divisors (21714260880).

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

12203053152 is a wasteful number, since it uses less digits than its factorization.

12203053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477391 (or 7477383 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 12203053152 its reverse (25135030221), we get a palindrome (37338083373).

The spelling of 12203053152 in words is "twelve billion, two hundred three million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 7477361 14954722 22432083 29909444 44864166 59818888 89728332 119637776 127115137 179456664 239275552 254230274 358913328 381345411 508460548 717826656 762690822 1016921096 1525381644 2033842192 3050763288 4067684384 6101526576 12203053152