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11342102343 = 31121353101449
BaseRepresentation
bin10101001000000101…
…01011111101000111
31002021110011111102120
422210002223331013
5141212034233333
65113244341023
7551032164525
oct124402537507
932243144376
1011342102343
1148a0359400
122246544773
1310b9a76b80
147984c3315
15465b17db3
hex2a40abf47

11342102343 has 96 divisors (see below), whose sum is σ = 18460612800. Its totient is φ = 6150144000.

The previous prime is 11342102327. The next prime is 11342102351. The reversal of 11342102343 is 34320124311.

It is a happy number.

11342102343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11342102343 - 24 = 11342102327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11342102323) 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 95 ways as a sum of consecutive naturals, for example, 25260583 + ... + 25261031.

It is an arithmetic number, because the mean of its divisors is an integer number (192298050).

Almost surely, 211342102343 is an apocalyptic number.

11342102343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11342102343 is a deficient number, since it is larger than the sum of its proper divisors (7118510457).

11342102343 is a wasteful number, since it uses less digits than its factorization.

11342102343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11342102343 its reverse (34320124311), we get a palindrome (45662226654).

The spelling of 11342102343 in words is "eleven billion, three hundred forty-two million, one hundred two thousand, three hundred forty-three".

Divisors: 1 3 11 13 33 39 53 101 121 143 159 303 363 429 449 583 689 1111 1313 1347 1573 1749 2067 3333 3939 4719 4939 5353 5837 6413 7579 12221 14443 14817 16059 17511 19239 22737 23797 36663 43329 45349 54329 58883 64207 69589 71391 83369 136047 158873 162987 176649 192621 208767 250107 261767 309361 476619 498839 589537 647713 706277 765479 785301 928083 1496517 1768611 1943139 2118831 2296437 2403497 2879437 3402971 5487229 6484907 7210491 8420269 8638311 10208913 16461687 19454721 25260807 26438467 31245461 37432681 71333977 79315401 93736383 112298043 214001931 290823137 343700071 872469411 1031100213 3780700781 11342102343