Search a number
-
+
12131020301213 = 1131431307632993
BaseRepresentation
bin1011000010000111100100…
…1001111110001110011101
31120221201021122220000120002
42300201321021332032131
53042223312144114323
641444525213504045
72361302664132662
oct260417111761635
946851248800502
1012131020301213
113957811783380
12143b0a61a2025
1369cc47a8bb38
142dd20479ba69
15160850625828
hexb087927e39d

12131020301213 has 32 divisors (see below), whose sum is σ = 13989147144192. Its totient is φ = 10416263155200.

The previous prime is 12131020301207. The next prime is 12131020301219. The reversal of 12131020301213 is 31210302013121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12131020301207) and next prime (12131020301219).

It is a cyclic number.

It is not a de Polignac number, because 12131020301213 - 26 = 12131020301149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131020301219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18848045 + ... + 19481037.

It is an arithmetic number, because the mean of its divisors is an integer number (437160848256).

Almost surely, 212131020301213 is an apocalyptic number.

It is an amenable number.

12131020301213 is a deficient number, since it is larger than the sum of its proper divisors (1858126842979).

12131020301213 is a wasteful number, since it uses less digits than its factorization.

12131020301213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634385.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12131020301213 its reverse (31210302013121), we get a palindrome (43341322314334).

The spelling of 12131020301213 in words is "twelve trillion, one hundred thirty-one billion, twenty million, three hundred one thousand, two hundred thirteen".

Divisors: 1 11 31 43 341 473 1307 1333 14377 14663 40517 56201 445687 618211 632993 1742231 6962923 19164541 19622783 27218699 215850613 299405689 827321851 843779669 9100540361 9281576359 25646977381 35574839593 282116751191 391323235523 1102820027383 12131020301213