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2100314051052 = 2237172684112647
BaseRepresentation
bin11110100100000100011…
…110010001000111101100
321102210021111102122021020
4132210010132101013230
5233402420344113202
64244512043134140
7304512511604220
oct36440436210754
97383244378236
102100314051052
1173a813588108
1229b07ab14350
1312309c151329
1473927500780
1539979a9e5bc
hex1e9047911ec

2100314051052 has 144 divisors (see below), whose sum is σ = 5951018777088. Its totient is φ = 564663121920.

The previous prime is 2100314051027. The next prime is 2100314051063. The reversal of 2100314051052 is 2501504130012.

It is a happy number.

It is a super-2 number, since 2×21003140510522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166065793 + ... + 166078439.

Almost surely, 22100314051052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100314051052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975509388544).

2100314051052 is an abundant number, since it is smaller than the sum of its proper divisors (3850704726036).

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

2100314051052 is a wasteful number, since it uses less digits than its factorization.

2100314051052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19536 (or 19517 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 2100314051052 its reverse (2501504130012), we get a palindrome (4601818181064).

The spelling of 2100314051052 in words is "two trillion, one hundred billion, three hundred fourteen million, fifty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 6069 6841 8092 12138 12647 13682 20523 24276 25294 27364 37941 41046 47887 50588 75882 82092 88529 95774 116297 143661 151764 177058 191548 214999 232594 265587 287322 348891 354116 429998 465188 531174 574644 644997 697782 814079 859996 1062348 1289994 1395564 1504993 1628158 1977049 2442237 2579988 3009986 3256316 3654983 3954098 4514979 4884474 5931147 6019972 7309966 7908196 9029958 9768948 10964949 11862294 13839343 14619932 18059916 21929898 23724588 25584881 27678686 41518029 43859796 51169762 55357372 76754643 83036058 86518127 102339524 153509286 166072116 173036254 259554381 307018572 346072508 519108762 605626889 1038217524 1211253778 1470808159 1816880667 2422507556 2941616318 3633761334 4412424477 5883232636 7267522668 8824848954 10295657113 17649697908 20591314226 25003738703 30886971339 41182628452 50007477406 61773942678 75011216109 100014954812 123547885356 150022432218 175026170921 300044864436 350052341842 525078512763 700104683684 1050157025526 2100314051052