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2114313103 = 72171927989
BaseRepresentation
bin111111000000101…
…1101101110001111
312110100110020022201
41332001131232033
513312231004403
6545445022331
7103252236100
oct17601355617
95410406281
102114313103
11995524801
124b00b49a7
1327905c956
14160b343a7
15c594321d
hex7e05db8f

2114313103 has 72 divisors (see below), whose sum is σ = 2814523200. Its totient is φ = 1577511936.

The previous prime is 2114313073. The next prime is 2114313107. The reversal of 2114313103 is 3013134112.

It is not a de Polignac number, because 2114313103 - 213 = 2114304911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23756283 + ... + 23756371.

It is an arithmetic number, because the mean of its divisors is an integer number (39090600).

Almost surely, 22114313103 is an apocalyptic number.

2114313103 is a deficient number, since it is larger than the sum of its proper divisors (700210097).

2114313103 is a wasteful number, since it uses less digits than its factorization.

2114313103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2114313103 is about 45981.6605072066. The cubic root of 2114313103 is about 1283.4819548721.

Adding to 2114313103 its reverse (3013134112), we get a palindrome (5127447215).

The spelling of 2114313103 in words is "two billion, one hundred fourteen million, three hundred thirteen thousand, one hundred three".

Divisors: 1 7 17 19 49 79 89 119 133 323 361 553 623 833 931 1343 1501 1513 1691 2261 2527 3871 4361 6137 7031 9401 10507 10591 11837 15827 17689 25517 28519 28747 32129 42959 49217 65807 73549 74137 82859 119527 133589 178619 199633 201229 224903 300713 344519 484823 546193 836689 935123 1250333 1397431 1408603 1574321 2271013 2538191 3393761 3823351 5856823 6545861 15897091 17767337 23756327 26763457 43149247 111279637 124371359 302044729 2114313103