Search a number
-
+
12211310001 = 31117139915559
BaseRepresentation
bin10110101111101100…
…11100110110110001
31011112000201211011210
423113312130312301
5200002043410001
65335414430333
7611415264612
oct132766346661
934460654153
1012211310001
1151a6a69a40
1224496623a9
1311c7b7ba27
1483bb05c09
154b70b0dd6
hex2d7d9cdb1

12211310001 has 32 divisors (see below), whose sum is σ = 18821376000. Its totient is φ = 6960026880.

The previous prime is 12211309993. The next prime is 12211310047. The reversal of 12211310001 is 10001311221.

It is not a de Polignac number, because 12211310001 - 23 = 12211309993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12211315001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777060 + ... + 792618.

It is an arithmetic number, because the mean of its divisors is an integer number (588168000).

Almost surely, 212211310001 is an apocalyptic number.

12211310001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211310001 is a deficient number, since it is larger than the sum of its proper divisors (6610065999).

12211310001 is a wasteful number, since it uses less digits than its factorization.

12211310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16989.

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

Adding to 12211310001 its reverse (10001311221), we get a palindrome (22212621222).

The spelling of 12211310001 in words is "twelve billion, two hundred eleven million, three hundred ten thousand, one".

Divisors: 1 3 11 17 33 51 187 561 1399 4197 15389 15559 23783 46167 46677 71349 171149 261613 264503 513447 784839 793509 2909533 8728599 21767041 65301123 239437451 370039697 718312353 1110119091 4070436667 12211310001