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11331221113131 = 331382793145753
BaseRepresentation
bin1010010011100100000101…
…1010001100100100101011
31111010020212021121120201220
42210321001122030210223
52441122320101110011
640033254025313123
72246440136166303
oct244710132144453
944106767546656
1011331221113131
1136795a8a06647
1213300970357a3
136426b65c21aa
142b2610d8a603
15149b3ec9d506
hexa4e4168c92b

11331221113131 has 16 divisors (see below), whose sum is σ = 15156851185056. Its totient is φ = 7529870140416.

The previous prime is 11331221113111. The next prime is 11331221113133. The reversal of 11331221113131 is 13131112213311.

It is not a de Polignac number, because 11331221113131 - 218 = 11331220850987 is a prime.

It is a super-2 number, since 2×113312211131312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11331221113133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77669751 + ... + 77815503.

It is an arithmetic number, because the mean of its divisors is an integer number (947303199066).

Almost surely, 211331221113131 is an apocalyptic number.

11331221113131 is a deficient number, since it is larger than the sum of its proper divisors (3825630071925).

11331221113131 is a wasteful number, since it uses less digits than its factorization.

11331221113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228862.

The product of its digits is 324, while the sum is 24.

Adding to 11331221113131 its reverse (13131112213311), we get a palindrome (24462333326442).

The spelling of 11331221113131 in words is "eleven trillion, three hundred thirty-one billion, two hundred twenty-one million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 313 939 82793 145753 248379 437259 25914209 45620689 77742627 136862067 12067328129 36201984387 3777073704377 11331221113131