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11342311299 = 32114183131257
BaseRepresentation
bin10101001000000110…
…11110111110000011
31002021110120010001200
422210003132332003
5141212112430144
65113253032243
7551034024654
oct124403367603
932243503050
1011342311299
1148a04913a0
122246625683
1310b9b1b007
1479853952b
15465b59c69
hex2a40def83

11342311299 has 96 divisors (see below), whose sum is σ = 18743332608. Its totient is φ = 6549504000.

The previous prime is 11342311259. The next prime is 11342311301. The reversal of 11342311299 is 99211324311.

It is a happy number.

11342311299 is a `hidden beast` number, since 1 + 13 + 42 + 311 + 299 = 666.

11342311299 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 11342311299 - 29 = 11342310787 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11342311259) 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, 44133379 + ... + 44133635.

It is an arithmetic number, because the mean of its divisors is an integer number (195243048).

Almost surely, 211342311299 is an apocalyptic number.

11342311299 is a deficient number, since it is larger than the sum of its proper divisors (7401021309).

11342311299 is a wasteful number, since it uses less digits than its factorization.

11342311299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 526 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The spelling of 11342311299 in words is "eleven billion, three hundred forty-two million, three hundred eleven thousand, two hundred ninety-nine".

Divisors: 1 3 9 11 33 41 83 99 123 131 249 257 369 393 451 747 771 913 1179 1353 1441 2313 2739 2827 3403 4059 4323 5371 8217 8481 10209 10537 10873 12969 16113 21331 25443 30627 31611 32619 33667 37433 48339 59081 63993 94833 97857 101001 112299 115907 119603 177243 191979 234641 303003 336897 347721 358809 370337 445793 531729 703923 874571 1043163 1076427 1111011 1337379 1380347 2111769 2623713 2794361 3333033 4012137 4141041 4903723 7871139 8383083 9620281 12423123 14711169 15183817 25149249 28860843 30737971 44133507 45551451 86582529 92213913 114568801 136654353 276641739 343706403 1031119209 1260256811 3780770433 11342311299