Search a number
-
+
2103212331 = 331114947527
BaseRepresentation
bin111110101011100…
…0111100100101011
312102120120020221000
41331113013210223
513301410243311
6544411050043
7103056003243
oct17527074453
95376506830
102103212331
1198a232610
124a8440923
1327697404c
1415d484b23
15c499e056
hex7d5c792b

2103212331 has 32 divisors (see below), whose sum is σ = 3422016000. Its totient is φ = 1266092640.

The previous prime is 2103212291. The next prime is 2103212357. The reversal of 2103212331 is 1332123012.

2103212331 is a `hidden beast` number, since 2 + 10 + 321 + 2 + 331 = 666.

It is not a de Polignac number, because 2103212331 - 29 = 2103211819 is a prime.

It is a super-2 number, since 2×21032123312 = 8847004218540907122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2103212131) 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 31 ways as a sum of consecutive naturals, for example, 20490 + ... + 68016.

It is an arithmetic number, because the mean of its divisors is an integer number (106938000).

Almost surely, 22103212331 is an apocalyptic number.

2103212331 is a deficient number, since it is larger than the sum of its proper divisors (1318803669).

2103212331 is a wasteful number, since it uses less digits than its factorization.

2103212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47696 (or 47690 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2103212331 is about 45860.7929608724. The cubic root of 2103212331 is about 1281.2317917190.

Adding to 2103212331 its reverse (1332123012), we get a palindrome (3435335343).

The spelling of 2103212331 in words is "two billion, one hundred three million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 149 297 447 1341 1639 4023 4917 14751 44253 47527 142581 427743 522797 1283229 1568391 4705173 7081523 14115519 21244569 63733707 77896753 191201121 233690259 701070777 2103212331