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20113414431121 = 1117535861177967
BaseRepresentation
bin1001001001011000001001…
…11011000010000110010001
32122012211020102201112222201
410210230010323002012101
510114014233043243441
6110435550335003201
74144101105543004
oct444540473020621
978184212645881
1020113414431121
1164550620aa850
12230a145969501
13b2b8c0cba18b
144d76ccac753b
1524d2e1ad6c31
hex124b04ec2191

20113414431121 has 16 divisors (see below), whose sum is σ = 21958292659968. Its totient is φ = 18271270915200.

The previous prime is 20113414431091. The next prime is 20113414431179. The reversal of 20113414431121 is 12113441431102.

It is a cyclic number.

It is not a de Polignac number, because 20113414431121 - 29 = 20113414430609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20113414431121.

It is not an unprimeable number, because it can be changed into a prime (20113414438121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112928680 + ... + 113106646.

It is an arithmetic number, because the mean of its divisors is an integer number (1372393291248).

Almost surely, 220113414431121 is an apocalyptic number.

It is an amenable number.

20113414431121 is a deficient number, since it is larger than the sum of its proper divisors (1844878228847).

20113414431121 is a wasteful number, since it uses less digits than its factorization.

20113414431121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185592.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 20113414431121 its reverse (12113441431102), we get a palindrome (32226855862223).

The spelling of 20113414431121 in words is "twenty trillion, one hundred thirteen billion, four hundred fourteen million, four hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 11 1753 5861 19283 64471 177967 1957637 10274333 113017663 311976151 1043064587 3431737661 11473710457 1828492221011 20113414431121