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13105435145461 = 176833112821301
BaseRepresentation
bin1011111010110101100011…
…0011100111010011110101
31201101212102022022212102221
42332231120303213103311
53204204412344123321
643512315341402341
72521556620505131
oct276553063472365
951355368285387
1013105435145461
1141a2a9053304a
121577b078693b1
13740ab6522059
14334440c5a3c1
1517ad80b2ee41
hexbeb58ce74f5

13105435145461 has 8 divisors (see below), whose sum is σ = 13878374001624. Its totient is φ = 12332721945600.

The previous prime is 13105435145441. The next prime is 13105435145471. The reversal of 13105435145461 is 16454153450131.

It can be written as a sum of positive squares in 4 ways, for example, as 9649329361 + 13095785816100 = 98231^2 + 3618810^2 .

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 13105435145461 - 27 = 13105435145333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105435145441) 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, 56294490 + ... + 56526811.

It is an arithmetic number, because the mean of its divisors is an integer number (1734796750203).

Almost surely, 213105435145461 is an apocalyptic number.

It is an amenable number.

13105435145461 is a deficient number, since it is larger than the sum of its proper divisors (772938856163).

13105435145461 is a wasteful number, since it uses less digits than its factorization.

13105435145461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112828151.

The product of its (nonzero) digits is 432000, while the sum is 43.

Adding to 13105435145461 its reverse (16454153450131), we get a palindrome (29559588595592).

The spelling of 13105435145461 in words is "thirteen trillion, one hundred five billion, four hundred thirty-five million, one hundred forty-five thousand, four hundred sixty-one".

Divisors: 1 17 6833 116161 112821301 1917962117 770907949733 13105435145461