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11300144121310 = 2511234466460127
BaseRepresentation
bin1010010001110000010100…
…0100111000010111011110
31111000021122110202211022211
42210130011010320113132
52440120143343340220
640011114201431034
72244260051132512
oct244340504702736
944007573684284
1011300144121310
113667400842730
12132606349b47a
1363c7a3073b35
142b0d038b2142
15148e21835b5a
hexa47051385de

11300144121310 has 32 divisors (see below), whose sum is σ = 23154129303552. Its totient is φ = 3930484910880.

The previous prime is 11300144121223. The next prime is 11300144121311. The reversal of 11300144121310 is 1312144100311.

It is a super-2 number, since 2×113001441213102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300144121311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2233227534 + ... + 2233232593.

It is an arithmetic number, because the mean of its divisors is an integer number (723566540736).

Almost surely, 211300144121310 is an apocalyptic number.

11300144121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11300144121310 is an abundant number, since it is smaller than the sum of its proper divisors (11853985182242).

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

11300144121310 is a wasteful number, since it uses less digits than its factorization.

11300144121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466460168.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11300144121310 its reverse (1312144100311), we get a palindrome (12612288221621).

The spelling of 11300144121310 in words is "eleven trillion, three hundred billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 230 253 506 1265 2530 4466460127 8932920254 22332300635 44664601270 49131061397 98262122794 102728582921 205457165842 245655306985 491310613970 513642914605 1027285829210 1130014412131 2260028824262 5650072060655 11300144121310