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11011145014331 = 7114332137154543
BaseRepresentation
bin1010000000111011101101…
…1000110001110000111011
31102222122200121222001210222
42200032323120301300323
52420401311110424311
635230241123530255
72214346303222430
oct240167330616073
942878617861728
1011011145014331
113565889334160
12129a04a22998b
1361b4673c31a7
142a0d297d3b87
15141659d40adb
hexa03bb631c3b

11011145014331 has 32 divisors (see below), whose sum is σ = 13766413559808. Its totient is φ = 8556236375040.

The previous prime is 11011145014273. The next prime is 11011145014333. The reversal of 11011145014331 is 13341054111011.

It is a happy number.

11011145014331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11011145014331 - 234 = 10993965145147 is a prime.

It is a super-2 number, since 2×110111450143312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11011145014331.

It is not an unprimeable number, because it can be changed into a prime (11011145014333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71172446 + ... + 71326988.

It is an arithmetic number, because the mean of its divisors is an integer number (430200423744).

Almost surely, 211011145014331 is an apocalyptic number.

11011145014331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011145014331 is a deficient number, since it is larger than the sum of its proper divisors (2755268545477).

11011145014331 is a wasteful number, since it uses less digits than its factorization.

11011145014331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157131.

The product of its (nonzero) digits is 720, while the sum is 26.

Adding to 11011145014331 its reverse (13341054111011), we get a palindrome (24352199125342).

The spelling of 11011145014331 in words is "eleven trillion, eleven billion, one hundred forty-five million, fourteen thousand, three hundred thirty-one".

Divisors: 1 7 11 77 433 2137 3031 4763 14959 23507 33341 154543 164549 925321 1081801 1699973 6477247 10178531 11899811 66917119 71249717 330258391 468419833 736088309 2311808737 3632842301 5152618163 25429896107 143001883303 1001013183121 1573020716333 11011145014331