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12523141013301 = 325413257058953
BaseRepresentation
bin1011011000111100010101…
…0111110001111100110101
31122100012102020012002111200
42312033011113301330311
53120134343044411201
642345015045323113
72431524052162062
oct266170527617465
948305366162450
1012523141013301
113a99041696086
1214a309a706499
136cac08ba0129
143141a2319c69
1516ab5041a386
hexb63c55f1f35

12523141013301 has 12 divisors (see below), whose sum is σ = 18092323300428. Its totient is φ = 8347218289344.

The previous prime is 12523141013297. The next prime is 12523141013311. The reversal of 12523141013301 is 10331014132521.

12523141013301 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 314 + 10 + 1 + 330 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5849190620100 + 6673950393201 = 2418510^2 + 2583399^2 .

It is not a de Polignac number, because 12523141013301 - 22 = 12523141013297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12523141013311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128480760 + ... + 128578193.

It is an arithmetic number, because the mean of its divisors is an integer number (1507693608369).

Almost surely, 212523141013301 is an apocalyptic number.

It is an amenable number.

12523141013301 is a deficient number, since it is larger than the sum of its proper divisors (5569182287127).

12523141013301 is a wasteful number, since it uses less digits than its factorization.

12523141013301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257064372 (or 257064369 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 12523141013301 its reverse (10331014132521), we get a palindrome (22854155145822).

The spelling of 12523141013301 in words is "twelve trillion, five hundred twenty-three billion, one hundred forty-one million, thirteen thousand, three hundred one".

Divisors: 1 3 9 5413 16239 48717 257058953 771176859 2313530577 1391460112589 4174380337767 12523141013301