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11300322342420 = 2232562779568569
BaseRepresentation
bin1010010001110000111110…
…1100101111011000010100
31111000022002220010101201200
42210130033230233120110
52440121030004424140
640011144005352500
72244264344031546
oct244341754573024
944008086111650
1011300322342420
1136674923aa901
1213260b3108730
1363c800c74107
142b0d1d425696
15148e322dc030
hexa470fb2f614

11300322342420 has 36 divisors (see below), whose sum is σ = 34277644439220. Its totient is φ = 3013419291264.

The previous prime is 11300322342383. The next prime is 11300322342457. The reversal of 11300322342420 is 2424322300311.

11300322342420 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 3 + 2 + 234 + 2 + 420 = 666.

11300322342420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11300322342383) and next prime (11300322342457).

It can be written as a sum of positive squares in 2 ways, for example, as 2465659938564 + 8834662403856 = 1570242^2 + 2972316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31389784105 + ... + 31389784464.

Almost surely, 211300322342420 is an apocalyptic number.

11300322342420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300322342420 is an abundant number, since it is smaller than the sum of its proper divisors (22977322096800).

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

11300322342420 is a wasteful number, since it uses less digits than its factorization.

11300322342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62779568584 (or 62779568579 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11300322342420 its reverse (2424322300311), we get a palindrome (13724644642731).

The spelling of 11300322342420 in words is "eleven trillion, three hundred billion, three hundred twenty-two million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 62779568569 125559137138 188338705707 251118274276 313897842845 376677411414 565016117121 627795685690 753354822828 941693528535 1130032234242 1255591371380 1883387057070 2260064468484 2825080585605 3766774114140 5650161171210 11300322342420