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2114242133 = 23253731033
BaseRepresentation
bin111111000000100…
…1100011001010101
312110100022121222012
41332001030121111
513312221222013
6545443314005
7103251522143
oct17601143125
95410277865
102114242133
11995486453
124b007b905
13279036563
14160b16593
15c592c1a8
hex7e04c655

2114242133 has 24 divisors (see below), whose sum is σ = 2284920792. Its totient is φ = 1955086848.

The previous prime is 2114242099. The next prime is 2114242171. The reversal of 2114242133 is 3312424112.

It can be written as a sum of positive squares in 4 ways, for example, as 1172857009 + 941385124 = 34247^2 + 30682^2 .

It is not a de Polignac number, because 2114242133 - 26 = 2114242069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2114242099 and 2114242108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114242733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046185 + ... + 2047217.

It is an arithmetic number, because the mean of its divisors is an integer number (95205033).

Almost surely, 22114242133 is an apocalyptic number.

2114242133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2114242133 is a deficient number, since it is larger than the sum of its proper divisors (170678659).

2114242133 is a wasteful number, since it uses less digits than its factorization.

2114242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1182 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 2114242133 is about 45980.8887800138. Note that the first 3 decimals coincide. The cubic root of 2114242133 is about 1283.4675940641.

Adding to 2114242133 its reverse (3312424112), we get a palindrome (5426666245).

The spelling of 2114242133 in words is "two billion, one hundred fourteen million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 23 53 73 529 1033 1219 1679 3869 23759 28037 38617 54749 75409 88987 546457 1259227 1734407 2046701 3996677 28962221 39891361 91923571 2114242133