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115211334352041 = 3329236353139571
BaseRepresentation
bin11010001100100010111010…
…101010000111110010101001
3120002221002120222112100001000
4122030202322222013302221
5110100110303043231131
61045011204544545213
733160513160604114
oct3214427252076251
9502832528470030
10115211334352041
1133789941763344
1210b0888a922209
134c394c7946b75
142064388c3157b
15d4bda048ece6
hex68c8baa87ca9

115211334352041 has 48 divisors (see below), whose sum is σ = 176778177001920. Its totient is φ = 74156448522240.

The previous prime is 115211334352033. The next prime is 115211334352073. The reversal of 115211334352041 is 140253433112511.

115211334352041 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 1 + 13 + 3 + 435 + 204 + 1 = 666.

It is not a de Polignac number, because 115211334352041 - 23 = 115211334352033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115211334351987 and 115211334352005.

It is not an unprimeable number, because it can be changed into a prime (115211334352241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825397786 + ... + 825537356.

It is an arithmetic number, because the mean of its divisors is an integer number (3682878687540).

Almost surely, 2115211334352041 is an apocalyptic number.

It is an amenable number.

115211334352041 is a deficient number, since it is larger than the sum of its proper divisors (61566842649879).

115211334352041 is a wasteful number, since it uses less digits than its factorization.

115211334352041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175991 (or 175956 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 115211334352041 its reverse (140253433112511), we get a palindrome (255464767464552).

The spelling of 115211334352041 in words is "one hundred fifteen trillion, two hundred eleven billion, three hundred thirty-four million, three hundred fifty-two thousand, forty-one".

Divisors: 1 3 9 27 29 87 261 783 841 2523 7569 22707 36353 109059 139571 327177 418713 981531 1054237 1256139 3162711 3768417 4047559 9488133 12142677 28464399 30572873 36428031 91718619 109284093 117379211 275155857 352137633 825467571 1056412899 3169238697 5073824563 15221473689 45664421067 136993263201 147140912327 441422736981 1324268210943 3972804632829 4267086457483 12801259372449 38403778117347 115211334352041