Search a number
-
+
11340087297 = 3731129179193
BaseRepresentation
bin10101000111110110…
…00000000000000001
31002021022101010022020
422203323000000001
5141211030243142
65113133232053
7551006103000
oct124373000001
932238333266
1011340087297
11489a202480
122245932629
1310b951c936
1479811ac37
1546586acec
hex2a3ec0001

11340087297 has 128 divisors (see below), whose sum is σ = 20113920000. Its totient is φ = 5626736640.

The previous prime is 11340087257. The next prime is 11340087299. The reversal of 11340087297 is 79278004311.

It is not a de Polignac number, because 11340087297 - 27 = 11340087169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11340087299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58756833 + ... + 58757025.

It is an arithmetic number, because the mean of its divisors is an integer number (157140000).

It is a Proth number, since it is equal to 43259 ⋅ 218 + 1 and 43259 < 218.

Almost surely, 211340087297 is an apocalyptic number.

It is an amenable number.

11340087297 is a deficient number, since it is larger than the sum of its proper divisors (8773832703).

11340087297 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (11340087296) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (422).

11340087297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 11340087297 in words is "eleven billion, three hundred forty million, eighty-seven thousand, two hundred ninety-seven".

Divisors: 1 3 7 11 21 29 33 49 77 87 147 179 193 203 231 319 343 537 539 579 609 957 1029 1253 1351 1421 1617 1969 2123 2233 3759 3773 4053 4263 5191 5597 5907 6369 6699 8771 9457 9947 11319 13783 14861 15573 15631 16791 26313 28371 29841 34547 36337 39179 41349 44583 46893 57101 61397 61567 66199 96481 103641 104027 109011 109417 117537 171303 184191 184701 198597 241829 254359 274253 289443 312081 328251 380017 399707 430969 675367 725487 728189 763077 822759 1001863 1140051 1199121 1292907 1692803 1780513 1919771 2026101 2184567 2660119 2797949 3005589 3016783 5078409 5341539 5759313 7013041 7980357 8393847 9050349 11020493 11849621 18620833 19585643 21039123 21117481 33061479 35548863 49091287 55862499 58756929 63352443 77143451 130345831 147273861 231430353 343639009 391037493 540004157 1030917027 1620012471 3780029099 11340087297