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11134013231220 = 223511191117794879
BaseRepresentation
bin1010001000000101011011…
…1001110101000001110100
31110102101211112012012012120
42202001112321311001310
52424404424341344340
635402521200115540
72226256140642255
oct242012671650164
943371745165176
1011134013231220
1136029aa22a060
1212b9a1a605bb0
13629c188a07c9
142a6c63a3ab2c
1514494ba084d0
hexa2056e75074

11134013231220 has 192 divisors, whose sum is σ = 35831409868800. Its totient is φ = 2554801482240.

The previous prime is 11134013231219. The next prime is 11134013231221. The reversal of 11134013231220 is 2213231043111.

It is an interprime number because it is at equal distance from previous prime (11134013231219) and next prime (11134013231221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134013231221) 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 63 ways as a sum of consecutive naturals, for example, 13609741 + ... + 14404619.

It is an arithmetic number, because the mean of its divisors is an integer number (186621926400).

Almost surely, 211134013231220 is an apocalyptic number.

11134013231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134013231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915704934400).

11134013231220 is an abundant number, since it is smaller than the sum of its proper divisors (24697396637580).

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

11134013231220 is a wasteful number, since it uses less digits than its factorization.

11134013231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796038 (or 796036 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11134013231220 its reverse (2213231043111), we get a palindrome (13347244274331).

The spelling of 11134013231220 in words is "eleven trillion, one hundred thirty-four billion, thirteen million, two hundred thirty-one thousand, two hundred twenty".