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11131222010320 = 245457304464497
BaseRepresentation
bin1010000111111011000010…
…0010001010100111010000
31110102010122000000110221201
42201332300202022213100
52424333220313312240
635401340210400544
72226130025650066
oct241766042124720
943363560013851
1011131222010320
1136017a76a8525
1212b937b890154
136298925284c9
142a6a7b060036
15144836954d9a
hexa1fb088a9d0

11131222010320 has 40 divisors (see below), whose sum is σ = 25936721655624. Its totient is φ = 4442745925632.

The previous prime is 11131222010291. The next prime is 11131222010351. The reversal of 11131222010320 is 2301022213111.

It can be written as a sum of positive squares in 4 ways, for example, as 3590903721024 + 7540318289296 = 1894968^2 + 2745964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×111312220103203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152195689 + ... + 152268808.

Almost surely, 211131222010320 is an apocalyptic number.

11131222010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131222010320 is an abundant number, since it is smaller than the sum of its proper divisors (14805499645304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131222010320 is a wasteful number, since it uses less digits than its factorization.

11131222010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304464967 (or 304464961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11131222010320 its reverse (2301022213111), we get a palindrome (13432244223431).

The spelling of 11131222010320 in words is "eleven trillion, one hundred thirty-one billion, two hundred twenty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 457 914 1828 2285 3656 4570 7312 9140 18280 36560 304464497 608928994 1217857988 1522322485 2435715976 3044644970 4871431952 6089289940 12178579880 24357159760 139140275129 278280550258 556561100516 695701375645 1113122201032 1391402751290 2226244402064 2782805502580 5565611005160 11131222010320