Search a number
-
+
20013127746105 = 3513523196235993
BaseRepresentation
bin1001000110011101010110…
…10111101100001000111001
32121212020101021122002211110
410203032223113230020321
510110343341200333410
6110321523131150533
74133620651022064
oct443165327541071
977766337562743
1020013127746105
116416579964a8a
1222b2817ba5449
13b222cac92340
144d28d795b8db
1524a8c261d720
hex1233ab5ec239

20013127746105 has 32 divisors (see below), whose sum is σ = 34550094047616. Its totient is φ = 9833778031104.

The previous prime is 20013127746097. The next prime is 20013127746133. The reversal of 20013127746105 is 50164772131002.

It is not a de Polignac number, because 20013127746105 - 23 = 20013127746097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

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, 98016012 + ... + 98219981.

It is an arithmetic number, because the mean of its divisors is an integer number (1079690438988).

Almost surely, 220013127746105 is an apocalyptic number.

It is an amenable number.

20013127746105 is a deficient number, since it is larger than the sum of its proper divisors (14536966301511).

20013127746105 is a wasteful number, since it uses less digits than its factorization.

20013127746105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196236537.

The product of its (nonzero) digits is 70560, while the sum is 39.

Adding to 20013127746105 its reverse (50164772131002), we get a palindrome (70177899877107).

The spelling of 20013127746105 in words is "twenty trillion, thirteen billion, one hundred twenty-seven million, seven hundred forty-six thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 195 523 1569 2615 6799 7845 20397 33995 101985 196235993 588707979 981179965 2551067909 2943539895 7653203727 12755339545 38266018635 102631424339 307894273017 513157121695 1334208516407 1539471365085 4002625549221 6671042582035 20013127746105