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20141233214102 = 27211132671650083
BaseRepresentation
bin1001001010001011111110…
…00011010001001010010110
32122022111001011200011010022
410211011333003101022112
510114443221200322402
6110500431012025142
74146104351362400
oct445057703211226
978274034604108
1020141233214102
116465938083190
12231360a3021b2
13b314054c9100
144d8bab583b70
1524ddbdea42a2
hex12517f0d1296

20141233214102 has 144 divisors (see below), whose sum is σ = 42135040147392. Its totient is φ = 7135482594240.

The previous prime is 20141233214101. The next prime is 20141233214107.

It is a happy number.

20141233214102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20141233214101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11381153 + ... + 13031235.

It is an arithmetic number, because the mean of its divisors is an integer number (292604445468).

Almost surely, 220141233214102 is an apocalyptic number.

20141233214102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20141233214102 is an abundant number, since it is smaller than the sum of its proper divisors (21993806933290).

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

20141233214102 is a wasteful number, since it uses less digits than its factorization.

20141233214102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650203 (or 1650183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2014123 and 3214102, that added together give a palindrome (5228225).

The spelling of 20141233214102 in words is "twenty trillion, one hundred forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 49 67 77 91 98 134 143 154 169 182 286 338 469 539 637 737 871 938 1001 1078 1183 1274 1474 1742 1859 2002 2366 3283 3718 5159 6097 6566 7007 8281 9581 10318 11323 12194 13013 14014 16562 19162 22646 26026 36113 42679 67067 72226 79261 85358 91091 124553 134134 158522 182182 249106 469469 554827 871871 938938 1109654 1650083 1743742 3300166 6103097 11550581 12206194 18150913 21451079 23101162 36301826 42902158 80854067 110555561 127056391 150157553 161708134 221111122 235961869 254112782 278864027 300315106 471923738 557728054 773888927 889394737 1051102871 1216111171 1437222293 1547777854 1651733083 1778789474 1952048189 2102205742 2432222342 2874444586 3067504297 3303466166 3904096378 5417222489 6135008594 8512778197 10060556051 10834444978 11562131581 13664337323 15809445223 17025556394 18683889809 20121112102 21472530079 23124263162 27328674646 31618890446 37367779618 42945060158 59589447379 70423892357 110666116561 119178894758 130787228663 140847784714 150307710553 205522787899 221332233122 261574457326 300615421106 411045575798 774662815927 915510600641 1438659515293 1549325631854 1831021201282 2877319030586 10070616607051 20141233214102