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20113411431102 = 23114716339779227
BaseRepresentation
bin1001001001011000001001…
…01111100101101010111110
32122012211020020002010201220
410210230010233211222332
510114014231311243402
6110435550150414210
74144101041206413
oct444540457455276
978184206063656
1020113411431102
1164550604408a0
12230a144961366
13b2b8c04a9812
144d76cc54610a
1524d2e16e2dbc
hex124b04be5abe

20113411431102 has 64 divisors (see below), whose sum is σ = 45092459925504. Its totient is φ = 5928695843040.

The previous prime is 20113411431059. The next prime is 20113411431109.

20113411431102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20113411431109) 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, 19383988 + ... + 20395239.

It is an arithmetic number, because the mean of its divisors is an integer number (704569686336).

Almost surely, 220113411431102 is an apocalyptic number.

20113411431102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20113411431102 is an abundant number, since it is smaller than the sum of its proper divisors (24979048494402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20113411431102 is a wasteful number, since it uses less digits than its factorization.

20113411431102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39779453.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 2011341 and 1431102, that added together give a palindrome (3442443).

The spelling of 20113411431102 in words is "twenty trillion, one hundred thirteen billion, four hundred eleven million, four hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 163 282 326 489 517 978 1034 1551 1793 3102 3586 5379 7661 10758 15322 22983 45966 84271 168542 252813 505626 39779227 79558454 119337681 238675362 437571497 875142994 1312714491 1869623669 2625428982 3739247338 5608871007 6484014001 11217742014 12968028002 19452042003 20565860359 38904084006 41131720718 61697581077 71324154011 123395162154 142648308022 213972462033 304748658047 427944924066 609497316094 914245974141 1828491948282 3352235238517 6704470477034 10056705715551 20113411431102