Search a number
-
+
13033101122200 = 235265165505611
BaseRepresentation
bin1011110110101000000101…
…0111001101101010011000
31201010221201020002202120101
42331222001113031222120
53202013242341402300
643415153552305144
72513416252451005
oct275520127155230
951127636082511
1013033101122200
1141753418a1835
121565a9b2421b4
1373702967c263
14330b3c27a8ac
1517904a67bb6a
hexbda815cda98

13033101122200 has 24 divisors (see below), whose sum is σ = 30301960109580. Its totient is φ = 5213240448800.

The previous prime is 13033101122191. The next prime is 13033101122207. The reversal of 13033101122200 is 222110133031.

13033101122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×130331011222003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033101122207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32582752606 + ... + 32582753005.

Almost surely, 213033101122200 is an apocalyptic number.

13033101122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033101122200 is an abundant number, since it is smaller than the sum of its proper divisors (17268858987380).

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

13033101122200 is a wasteful number, since it uses less digits than its factorization.

13033101122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65165505627 (or 65165505618 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13033101122200 its reverse (222110133031), we get a palindrome (13255211255231).

The spelling of 13033101122200 in words is "thirteen trillion, thirty-three billion, one hundred one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 65165505611 130331011222 260662022444 325827528055 521324044888 651655056110 1303310112220 1629137640275 2606620224440 3258275280550 6516550561100 13033101122200