Search a number
-
+
2114431131 = 319414353397
BaseRepresentation
bin111111000000111…
…1010100010011011
312110100200020020010
41332001322202123
513312243244011
6545451333003
7103253240151
oct17601724233
95410606203
102114431131
119955a544a
124b0151163
132790a15a7
14160b653d1
15c59681a6
hex7e07a89b

2114431131 has 64 divisors (see below), whose sum is σ = 3177377280. Its totient is φ = 1245404160.

The previous prime is 2114431103. The next prime is 2114431133. The reversal of 2114431131 is 1311344112.

It is not a de Polignac number, because 2114431131 - 27 = 2114431003 is a prime.

It is a super-2 number, since 2×21144311312 = 8941638015483878322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114431098 and 2114431107.

It is not an unprimeable number, because it can be changed into a prime (2114431133) 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, 5325825 + ... + 5326221.

It is an arithmetic number, because the mean of its divisors is an integer number (49646520).

Almost surely, 22114431131 is an apocalyptic number.

2114431131 is a deficient number, since it is larger than the sum of its proper divisors (1062946149).

2114431131 is a wasteful number, since it uses less digits than its factorization.

2114431131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556.

The product of its digits is 288, while the sum is 21.

The square root of 2114431131 is about 45982.9439140210. The cubic root of 2114431131 is about 1283.5058371737.

Adding to 2114431131 its reverse (1311344112), we get a palindrome (3425775243).

The spelling of 2114431131 in words is "two billion, one hundred fourteen million, four hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 19 41 43 53 57 123 129 159 397 779 817 1007 1191 1763 2173 2279 2337 2451 3021 5289 6519 6837 7543 16277 17071 21041 22629 33497 41287 43301 48831 51213 63123 93439 100491 123861 129903 280317 309263 324349 399779 699911 862681 904763 927789 973047 1199337 1775341 2099733 2588043 2714289 5326023 13298309 16390939 17190497 37095283 39894927 49172817 51571491 111285849 704810377 2114431131