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13332101330420 = 2251733853208477
BaseRepresentation
bin1100001000000001111100…
…1010011111010111110100
31202012112111001202002211022
43002000133022133113310
53221413120420033140
644204403252400312
72544132620340455
oct302003712372764
952175431662738
1013332101330420
1142801266a7734
1215b3a25916098
1375929a3146a2
143413c46c712c
15181bea19b0b5
hexc201f29f5f4

13332101330420 has 24 divisors (see below), whose sum is σ = 28159247557224. Its totient is φ = 5302014862976.

The previous prime is 13332101330369. The next prime is 13332101330543. The reversal of 13332101330420 is 2403310123331.

13332101330420 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 7029561374224 + 6302539956196 = 2651332^2 + 2510486^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13332101330420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1926600779 + ... + 1926607698.

It is an arithmetic number, because the mean of its divisors is an integer number (1173301981551).

Almost surely, 213332101330420 is an apocalyptic number.

13332101330420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332101330420 is an abundant number, since it is smaller than the sum of its proper divisors (14827146226804).

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

13332101330420 is a wasteful number, since it uses less digits than its factorization.

13332101330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853208659 (or 3853208657 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13332101330420 its reverse (2403310123331), we get a palindrome (15735411453751).

The spelling of 13332101330420 in words is "thirteen trillion, three hundred thirty-two billion, one hundred one million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 3853208477 7706416954 15412833908 19266042385 38532084770 77064169540 666605066521 1333210133042 2666420266084 3333025332605 6666050665210 13332101330420