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11311131220 = 2251733268033
BaseRepresentation
bin10101000100011001…
…00010101001010100
31002012021220000000221
422202030202221110
5141131122144340
65110220444124
7550205012644
oct124214425124
932167800027
1011311131220
114884925334
1222380a9644
1310b3521b6c
14794340524
1546304b44a
hex2a2322a54

11311131220 has 24 divisors (see below), whose sum is σ = 25150633704. Its totient is φ = 4258308096.

The previous prime is 11311131217. The next prime is 11311131229. The reversal of 11311131220 is 2213111311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 109872324 + 11201258896 = 10482^2 + 105836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11311131194 and 11311131203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311131229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16633677 + ... + 16634356.

It is an arithmetic number, because the mean of its divisors is an integer number (1047943071).

Almost surely, 211311131220 is an apocalyptic number.

11311131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311131220 is an abundant number, since it is smaller than the sum of its proper divisors (13839502484).

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

11311131220 is a wasteful number, since it uses less digits than its factorization.

11311131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33268059 (or 33268057 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11311131220 its reverse (2213111311), we get a palindrome (13524242531).

The spelling of 11311131220 in words is "eleven billion, three hundred eleven million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 33268033 66536066 133072132 166340165 332680330 565556561 665360660 1131113122 2262226244 2827782805 5655565610 11311131220