Search a number
-
+
12100211002000 = 245311550009591
BaseRepresentation
bin1011000000010100110011…
…0001110100101010010000
31120211202202111202110101001
42300011030301310222100
53041222213004031000
641422432111351344
72356132336330132
oct260051461645220
946752674673331
1012100211002000
113945741727920
121435128222554
1369a077b39284
142db920a87052
1515eb4a93946a
hexb014cc74a90

12100211002000 has 80 divisors (see below), whose sum is σ = 31918156642944. Its totient is φ = 4400076720000.

The previous prime is 12100211001997. The next prime is 12100211002013. The reversal of 12100211002000 is 20011200121.

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 (10).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 274982796 + ... + 275026795.

Almost surely, 212100211002000 is an apocalyptic number.

12100211002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100211002000 is an abundant number, since it is smaller than the sum of its proper divisors (19817945640944).

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

12100211002000 is a wasteful number, since it uses less digits than its factorization.

12100211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550009625 (or 550009609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100211002000 its reverse (20011200121), we get a palindrome (12120222202121).

The spelling of 12100211002000 in words is "twelve trillion, one hundred billion, two hundred eleven million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 550009591 1100019182 2200038364 2750047955 4400076728 5500095910 6050105501 8800153456 11000191820 12100211002 13750239775 22000383640 24200422004 27500479550 30250527505 44000767280 48400844008 55000959100 60501055010 68751198875 96801688016 110001918200 121002110020 137502397750 151252637525 220003836400 242004220040 275004795500 302505275050 484008440080 550009591000 605010550100 756263187625 1100019182000 1210021100200 1512526375250 2420042200400 3025052750500 6050105501000 12100211002000