Search a number
-
+
2212001103 = 31323113139157
BaseRepresentation
bin1000001111011000…
…0111010101001111
312201011021022001210
42003312013111033
514012233013403
61003254505503
7105546461544
oct20366072517
95634238053
102212001103
11a35687194
12518965293
13293373cc0
1416dac2bcb
15ce2dcb03
hex83d8754f

2212001103 has 64 divisors (see below), whose sum is σ = 3389137920. Its totient is φ = 1273079808.

The previous prime is 2212001069. The next prime is 2212001107. The reversal of 2212001103 is 3011002122.

It is not a de Polignac number, because 2212001103 - 29 = 2212000591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212001107) 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 63 ways as a sum of consecutive naturals, for example, 14089101 + ... + 14089257.

It is an arithmetic number, because the mean of its divisors is an integer number (52955280).

Almost surely, 22212001103 is an apocalyptic number.

2212001103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2212001103 is a deficient number, since it is larger than the sum of its proper divisors (1177136817).

2212001103 is a wasteful number, since it uses less digits than its factorization.

2212001103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2212001103 is about 47031.9157913007. The cubic root of 2212001103 is about 1302.9520886482.

Adding to 2212001103 its reverse (3011002122), we get a palindrome (5223003225).

The spelling of 2212001103 in words is "two billion, two hundred twelve million, one thousand, one hundred three".

Divisors: 1 3 13 23 39 69 113 139 157 299 339 417 471 897 1469 1807 2041 2599 3197 3611 4407 5421 6123 7797 9591 10833 15707 17741 21823 33787 41561 46943 47121 53223 65469 101361 124683 140829 204191 230633 283699 361261 408043 501929 612573 691899 851097 1083783 1224129 1505787 2465999 4696393 5304559 6525077 7397997 14089179 15913677 19575231 32057987 56717977 96173961 170153931 737333701 2212001103