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10012130341441 = 205310253475649
BaseRepresentation
bin1001000110110010000101…
…1110001111001001000001
31022110011001120121110000121
42101230201132033021001
52303014320331411231
633143301552220241
72052231631503244
oct221544136171101
938404046543017
1010012130341441
113210136620098
12115850223a681
135781a82c8057
1426883819925b
15125689d5d311
hex91b2178f241

10012130341441 has 8 divisors (see below), whose sum is σ = 10018005215400. Its totient is φ = 10006256443392.

The previous prime is 10012130341427. The next prime is 10012130341517. The reversal of 10012130341441 is 14414303121001.

It can be written as a sum of positive squares in 4 ways, for example, as 373713365041 + 9638416976400 = 611321^2 + 3104580^2 .

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 10012130341441 - 219 = 10012129817153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012130347441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20811585 + ... + 21287233.

It is an arithmetic number, because the mean of its divisors is an integer number (1252250651925).

Almost surely, 210012130341441 is an apocalyptic number.

It is an amenable number.

10012130341441 is a deficient number, since it is larger than the sum of its proper divisors (5874873959).

10012130341441 is a wasteful number, since it uses less digits than its factorization.

10012130341441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487955.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10012130341441 its reverse (14414303121001), we get a palindrome (24426433462442).

The spelling of 10012130341441 in words is "ten trillion, twelve billion, one hundred thirty million, three hundred forty-one thousand, four hundred forty-one".

Divisors: 1 2053 10253 475649 21049409 976507397 4876829197 10012130341441