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12151105436321 = 66372579370981
BaseRepresentation
bin1011000011010010011001…
…0100101011101010100001
31121000122010102121121012222
42300310212110223222201
53043040430442430241
641502050224000425
72362613502021125
oct260644624535241
947018112547188
1012151105436321
113965289270695
121442b70760115
136a1ac8ca4277
1430018c0c5585
15161128aaba4b
hexb0d2652baa1

12151105436321 has 8 divisors (see below), whose sum is σ = 12153578641704. Its totient is φ = 12148632437760.

The previous prime is 12151105436291. The next prime is 12151105436339. The reversal of 12151105436321 is 12363450115121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 241262704225 + 11909842732096 = 491185^2 + 3451064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12151105436321 - 238 = 11876227529377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12151105438321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171152651 + ... + 171223631.

It is an arithmetic number, because the mean of its divisors is an integer number (1519197330213).

Almost surely, 212151105436321 is an apocalyptic number.

It is an amenable number.

12151105436321 is a deficient number, since it is larger than the sum of its proper divisors (2473205383).

12151105436321 is an equidigital number, since it uses as much as digits as its factorization.

12151105436321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103411.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 12151105436321 in words is "twelve trillion, one hundred fifty-one billion, one hundred five million, four hundred thirty-six thousand, three hundred twenty-one".

Divisors: 1 6637 25793 70981 171188141 471100897 1830812933 12151105436321