Search a number
-
+
20123414121411 = 3223413499677647
BaseRepresentation
bin1001001001101010110001…
…11100110100101111000011
32122020210001022220110021100
410210311120330310233003
510114200223003341121
6110444322511025443
74144603650525006
oct444653074645703
978223038813240
1020123414121411
1164593237230a7
12231007680b283
13b2c8258c9693
144d7d9aba953d
1524d6c9933026
hex124d58f34bc3

20123414121411 has 48 divisors (see below), whose sum is σ = 31079647872000. Its totient is φ = 12515742138240.

The previous prime is 20123414121383. The next prime is 20123414121479. The reversal of 20123414121411 is 11412141432102.

20123414121411 is a `hidden beast` number, since 2 + 0 + 1 + 23 + 414 + 1 + 214 + 11 = 666.

It is not a de Polignac number, because 20123414121411 - 25 = 20123414121379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20123414121911) 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 47 ways as a sum of consecutive naturals, for example, 29357190 + ... + 30034836.

It is an arithmetic number, because the mean of its divisors is an integer number (647492664000).

Almost surely, 220123414121411 is an apocalyptic number.

20123414121411 is a deficient number, since it is larger than the sum of its proper divisors (10956233750589).

20123414121411 is a wasteful number, since it uses less digits than its factorization.

20123414121411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681216 (or 681213 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 20123414121411 its reverse (11412141432102), we get a palindrome (31535555553513).

The spelling of 20123414121411 in words is "twenty trillion, one hundred twenty-three billion, four hundred fourteen million, one hundred twenty-one thousand, four hundred eleven".

Divisors: 1 3 9 23 41 69 123 207 369 943 2829 3499 8487 10497 31491 80477 143459 241431 430377 677647 724293 1291131 2032941 3299557 6098823 9898671 15585881 27783527 29696013 46757643 83350581 140272929 250051743 639021121 1917063363 2371086853 5751190089 7113260559 21339781677 54534997619 97214560973 163604992857 291643682919 490814978571 874931048757 2235934902379 6707804707137 20123414121411