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11411021214 = 2321745138263
BaseRepresentation
bin10101010000010011…
…00101110110011110
31002110020211221100100
422220021211312132
5141332210134324
65124145441530
7552530036265
oct125011456636
932406757310
1011411021214
11492625114a
1222656402a6
1310cb127578
147a37035dc
1546bbcd4c9
hex2a8265d9e

11411021214 has 48 divisors (see below), whose sum is σ = 26187194592. Its totient is φ = 3578701824.

The previous prime is 11411021213. The next prime is 11411021221. The reversal of 11411021214 is 41212011411.

11411021214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114110212142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411021213) 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 23 ways as a sum of consecutive naturals, for example, 1376847 + ... + 1385109.

It is an arithmetic number, because the mean of its divisors is an integer number (545566554).

Almost surely, 211411021214 is an apocalyptic number.

11411021214 is an abundant number, since it is smaller than the sum of its proper divisors (14776173378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11411021214 is a wasteful number, since it uses less digits than its factorization.

11411021214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11411021214 its reverse (41212011411), we get a palindrome (52623032625).

It can be divided in two parts, 1141102 and 1214, that added together give a triangular number (1142316 = T1511).

The spelling of 11411021214 in words is "eleven billion, four hundred eleven million, twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 4513 8263 9026 13539 16526 24789 27078 40617 49578 74367 76721 81234 140471 148734 153442 230163 280942 421413 460326 690489 842826 1264239 1380978 2528478 37290919 74581838 111872757 223745514 335618271 633945623 671236542 1267891246 1901836869 3803673738 5705510607 11411021214