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11211318027 = 337137362507
BaseRepresentation
bin10100111000011111…
…10010001100001011
31001221100001222002000
422130033302030023
5140430044134102
65052253242043
7544553426250
oct123417621413
931840058060
1011211318027
114833551198
12220a793323
1310989453c0
14784d9b427
154593d201c
hex29c3f230b

11211318027 has 64 divisors (see below), whose sum is σ = 20722652160. Its totient is φ = 5832559872.

The previous prime is 11211318023. The next prime is 11211318077. The reversal of 11211318027 is 72081311211.

11211318027 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 11211318027 - 22 = 11211318023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11211318023) 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 63 ways as a sum of consecutive naturals, for example, 148108 + ... + 210614.

It is an arithmetic number, because the mean of its divisors is an integer number (323791440).

Almost surely, 211211318027 is an apocalyptic number.

11211318027 is a deficient number, since it is larger than the sum of its proper divisors (9511334133).

11211318027 is a wasteful number, since it uses less digits than its factorization.

11211318027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62609 (or 62603 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 11211318027 its reverse (72081311211), we get a palindrome (83292629238).

The spelling of 11211318027 in words is "eleven billion, two hundred eleven million, three hundred eighteen thousand, twenty-seven".

Divisors: 1 3 7 9 13 21 27 39 63 73 91 117 189 219 273 351 511 657 819 949 1533 1971 2457 2847 4599 6643 8541 13797 19929 25623 59787 62507 179361 187521 437549 562563 812591 1312647 1687689 2437773 3937941 4563011 5688137 7313319 11813823 13689033 17064411 21939957 31941077 41067099 51193233 59319143 95823231 123201297 153579699 177957429 287469693 415234001 533872287 862409079 1245702003 1601616861 3737106009 11211318027