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13002212101000 = 235313002212101
BaseRepresentation
bin1011110100110101000000…
…1110111100101110001000
31201000222222111221220101011
42331031100032330232020
53201012012244213000
643353044521333304
72511243636220423
oct275152016745610
951028874856334
1013002212101000
114163230844a41
12155baba637234
13734146065a15
1432d44bb329ba
1517833d9942ba
hexbd3503bcb88

13002212101000 has 32 divisors (see below), whose sum is σ = 30425176318680. Its totient is φ = 5200884840000.

The previous prime is 13002212100979. The next prime is 13002212101001. The reversal of 13002212101000 is 10121220031.

13002212101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4099758345796 + 8902453755204 = 2024786^2 + 2983698^2 .

It is not an unprimeable number, because it can be changed into a prime (13002212101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6501105051 + ... + 6501107050.

Almost surely, 213002212101000 is an apocalyptic number.

13002212101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002212101000 is an abundant number, since it is smaller than the sum of its proper divisors (17422964217680).

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

13002212101000 is a wasteful number, since it uses less digits than its factorization.

13002212101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13002212122 (or 13002212108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13002212101000 its reverse (10121220031), we get a palindrome (13012333321031).

The spelling of 13002212101000 in words is "thirteen trillion, two billion, two hundred twelve million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 13002212101 26004424202 52008848404 65011060505 104017696808 130022121010 260044242020 325055302525 520088484040 650110605050 1300221210100 1625276512625 2600442420200 3250553025250 6501106050500 13002212101000