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11342224311 = 31133776771
BaseRepresentation
bin10101001000000110…
…01001101110110111
31002021110101200201220
422210003021232313
5141212102134221
65113251121423
7551033213235
oct124403115667
932243350656
1011342224311
1148a0432000
1222465a3273
1310b9aba542
14798515955
15465b3e0c6
hex2a40c9bb7

11342224311 has 32 divisors (see below), whose sum is σ = 17083919616. Its totient is φ = 6688202400.

The previous prime is 11342224303. The next prime is 11342224391.

11342224311 is nontrivially palindromic in base 10.

11342224311 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 11342224311 - 23 = 11342224303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11342224391) 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 31 ways as a sum of consecutive naturals, for example, 109356 + ... + 186126.

It is an arithmetic number, because the mean of its divisors is an integer number (533872488).

Almost surely, 211342224311 is an apocalyptic number.

11342224311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11342224311 is a deficient number, since it is larger than the sum of its proper divisors (5741695305).

11342224311 is an equidigital number, since it uses as much as digits as its factorization.

11342224311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76844 (or 76822 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The spelling of 11342224311 in words is "eleven billion, three hundred forty-two million, two hundred twenty-four thousand, three hundred eleven".

Divisors: 1 3 11 33 37 111 121 363 407 1221 1331 3993 4477 13431 49247 76771 147741 230313 844481 2533443 2840527 8521581 9289291 27867873 31245797 93737391 102182201 306546603 343703767 1031111301 3780741437 11342224311