Search a number
-
+
2114101233 = 32479349009
BaseRepresentation
bin111111000000010…
…1001111111110001
312110100001110200200
41332000221333301
513312202214413
6545440305413
7103250364306
oct17600517761
95410043620
102114101233
1199539a602
124b0012269
13278cb739a
14160abb0ad
15c5900573
hex7e029ff1

2114101233 has 12 divisors (see below), whose sum is σ = 3054401220. Its totient is φ = 1409078016.

The previous prime is 2114101229. The next prime is 2114101237. The reversal of 2114101233 is 3321014112.

2114101233 is a `hidden beast` number, since 21 + 1 + 410 + 1 + 233 = 666.

It is an interprime number because it is at equal distance from previous prime (2114101229) and next prime (2114101237).

It can be written as a sum of positive squares in 2 ways, for example, as 711448929 + 1402652304 = 26673^2 + 37452^2 .

It is not a de Polignac number, because 2114101233 - 22 = 2114101229 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2114101237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18633 + ... + 67641.

It is an arithmetic number, because the mean of its divisors is an integer number (254533435).

Almost surely, 22114101233 is an apocalyptic number.

It is an amenable number.

2114101233 is a deficient number, since it is larger than the sum of its proper divisors (940299987).

2114101233 is a wasteful number, since it uses less digits than its factorization.

2114101233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53808 (or 53805 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2114101233 is about 45979.3565961943. The cubic root of 2114101233 is about 1283.4390819401.

Adding to 2114101233 its reverse (3321014112), we get a palindrome (5435115345).

The spelling of 2114101233 in words is "two billion, one hundred fourteen million, one hundred one thousand, two hundred thirty-three".

Divisors: 1 3 9 4793 14379 43137 49009 147027 441081 234900137 704700411 2114101233