Search a number
-
+
20112411421102 = 27111328354165617
BaseRepresentation
bin1001001001010110010010…
…01000110110100110101110
32122012201122112101100220111
410210223021020312212232
510114010204310433402
6110435303025010234
74144034206234360
oct444531110664656
978181575340814
1020112411421102
116454697a10550
122309b05a8397a
13b2b791267c20
144d76357d4d30
1524d283a0d9d7
hex124ac92369ae

20112411421102 has 128 divisors (see below), whose sum is σ = 40725004336128. Its totient is φ = 7194243225600.

The previous prime is 20112411421093. The next prime is 20112411421103.

20112411421102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112411421103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306479398 + ... + 306545014.

It is an arithmetic number, because the mean of its divisors is an integer number (318164096376).

Almost surely, 220112411421102 is an apocalyptic number.

20112411421102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20112411421102 is an abundant number, since it is smaller than the sum of its proper divisors (20612592915026).

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

20112411421102 is a wasteful number, since it uses less digits than its factorization.

20112411421102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66474.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 2011241 and 1421102, that added together give a palindrome (3432343).

The spelling of 20112411421102 in words is "twenty trillion, one hundred twelve billion, four hundred eleven million, four hundred twenty-one thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 283 286 541 566 1001 1082 1981 2002 3113 3679 3787 3962 5951 6226 7033 7358 7574 11902 14066 21791 25753 40469 41657 43582 49231 51506 65617 77363 80938 83314 98462 131234 153103 154726 283283 306206 459319 541541 566566 721787 853021 918638 1071721 1083082 1443574 1684133 1706042 1990339 2143442 3368266 3980678 5052509 5971147 9383231 10105018 11788931 11942294 13932373 18569611 18766462 21893729 23577862 27864746 35498797 37139222 43787458 65682617 70997594 129987277 131365234 153256103 204265721 241404943 248491579 259974554 306512206 390486767 408531442 461484361 482809886 496983158 780973534 922968722 1429860047 1689834601 2655454373 2733407369 2859720094 3230390527 3379669202 5076327971 5310908746 5466814738 6460781054 10046159551 10152655942 18588180611 20092319102 35534295797 37176361222 70323116857 71068591594 110507755061 130600074163 140646233714 221015510122 261200148326 773554285427 914200519141 1436600815793 1547108570854 1828401038282 2873201631586 10056205710551 20112411421102