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13141220041251 = 32173717313418267
BaseRepresentation
bin1011111100111010110111…
…0000001010001000100011
31201112021210012220220222200
42333032231300022020203
53210301204312310001
643540554304104243
72524264453216311
oct277165560121043
951467705826880
1013141220041251
114207184138995
121582a34005083
1374429a23a9c3
143360776bd0b1
1517bc77552086
hexbf3adc0a223

13141220041251 has 48 divisors (see below), whose sum is σ = 20760851595744. Its totient is φ = 7976246694912.

The previous prime is 13141220041207. The next prime is 13141220041283. The reversal of 13141220041251 is 15214002214131.

13141220041251 is a `hidden beast` number, since 1 + 3 + 1 + 41 + 2 + 200 + 412 + 5 + 1 = 666.

13141220041251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13141220041251 - 229 = 13140683170339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13141220041291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5729781 + ... + 7688486.

It is an arithmetic number, because the mean of its divisors is an integer number (432517741578).

Almost surely, 213141220041251 is an apocalyptic number.

13141220041251 is a deficient number, since it is larger than the sum of its proper divisors (7619631554493).

13141220041251 is a wasteful number, since it uses less digits than its factorization.

13141220041251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13418500 (or 13418497 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13141220041251 its reverse (15214002214131), we get a palindrome (28355222255382).

The spelling of 13141220041251 in words is "thirteen trillion, one hundred forty-one billion, two hundred twenty million, forty-one thousand, two hundred fifty-one".

Divisors: 1 3 9 17 37 51 111 153 173 333 519 629 1557 1887 2941 5661 6401 8823 19203 26469 57609 108817 326451 979353 13418267 40254801 120764403 228110539 496475879 684331617 1489427637 2052994851 2321360191 4468282911 6964080573 8440089943 20892241719 25320269829 39463123247 75960809487 85890327067 118389369741 257670981201 355168109223 773012943603 1460135560139 4380406680417 13141220041251