Search a number
-
+
12210000003 = 321434794561
BaseRepresentation
bin10110101111100010…
…11101000010000011
31011111221021021012100
423113301131002003
5200001230000003
65335330401443
7611401200435
oct132761350203
934457237170
1012210000003
1151a62547a3
122449130283
1311c7810696
1483b884655
154b6e02ba3
hex2d7c5d083

12210000003 has 12 divisors (see below), whose sum is σ = 17638082488. Its totient is φ = 8139346560.

The previous prime is 12209999999. The next prime is 12210000013. The reversal of 12210000003 is 30000001221.

It is a happy number.

12210000003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12210000003 - 22 = 12209999999 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12210000003.

It is not an unprimeable number, because it can be changed into a prime (12210000013) 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 11 ways as a sum of consecutive naturals, for example, 81843 + ... + 176403.

Almost surely, 212210000003 is an apocalyptic number.

12210000003 is a deficient number, since it is larger than the sum of its proper divisors (5428082485).

12210000003 is a wasteful number, since it uses less digits than its factorization.

12210000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108914 (or 108911 counting only the distinct ones).

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

Adding to 12210000003 its reverse (30000001221), we get a palindrome (42210001224).

The spelling of 12210000003 in words is "twelve billion, two hundred ten million, three", and thus it is an aban number.

Divisors: 1 3 9 14347 43041 94561 129123 283683 851049 1356666667 4070000001 12210000003