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11131013011230 = 2325729609250849
BaseRepresentation
bin1010000111111010010000…
…0100111001011100011110
31110102010002102202020002200
42201332210010321130132
52424332303312324410
635401303343032330
72226121610332230
oct241764404713436
943363072666080
1011131013011230
1136016aa729402
1212b932189b6a6
1362985b1400c8
142a6a5b3b8250
1514482341e3c0
hexa1fa413971e

11131013011230 has 96 divisors (see below), whose sum is σ = 34215527736000. Its totient is φ = 2456499419136.

The previous prime is 11131013011187. The next prime is 11131013011271. The reversal of 11131013011230 is 3211031013111.

11131013011230 is a `hidden beast` number, since 1 + 1 + 131 + 0 + 1 + 301 + 1 + 230 = 666.

11131013011230 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 2×111310130112302 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304607155 + ... + 304643694.

It is an arithmetic number, because the mean of its divisors is an integer number (356411747250).

Almost surely, 211131013011230 is an apocalyptic number.

11131013011230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11131013011230 is an abundant number, since it is smaller than the sum of its proper divisors (23084514724770).

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

11131013011230 is a wasteful number, since it uses less digits than its factorization.

11131013011230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609250898 (or 609250895 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11131013011230 its reverse (3211031013111), we get a palindrome (14342044024341).

The spelling of 11131013011230 in words is "eleven trillion, one hundred thirty-one billion, thirteen million, eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1218 1305 1827 2030 2610 3045 3654 6090 9135 18270 609250849 1218501698 1827752547 3046254245 3655505094 4264755943 5483257641 6092508490 8529511886 9138762735 10966515282 12794267829 17668274621 18277525470 21323779715 25588535658 27416288205 35336549242 38382803487 42647559430 53004823863 54832576410 63971339145 76765606974 88341373105 106009647726 123677922347 127942678290 159014471589 176682746210 191914017435 247355844694 265024119315 318028943178 371033767041 383828034870 530048238630 618389611735 742067534082 795072357945 1113101301123 1236779223470 1590144715890 1855168835205 2226202602246 3710337670410 5565506505615 11131013011230