Search a number
-
+
13022103221200 = 245232555258053
BaseRepresentation
bin1011110101111111000111…
…0101100011001111010000
31201002220022202121111121201
42331133301311203033100
53201323231411034300
643410134401200544
72512546600026463
oct275376165431720
951086282544551
1013022103221200
114170708867a57
121563930030154
13735c9600b128
143303b77952da
15178b04da466a
hexbd7f1d633d0

13022103221200 has 30 divisors (see below), whose sum is σ = 31285602989894. Its totient is φ = 5208841288320.

The previous prime is 13022103221177. The next prime is 13022103221203. The reversal of 13022103221200 is 212230122031.

It can be written as a sum of positive squares in 3 ways, for example, as 324198139456 + 12697905081744 = 569384^2 + 3563412^2 .

It is a super-2 number, since 2×130221032212002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022103221203) 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, 16277628627 + ... + 16277629426.

Almost surely, 213022103221200 is an apocalyptic number.

13022103221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022103221200 is an abundant number, since it is smaller than the sum of its proper divisors (18263499768694).

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

13022103221200 is a wasteful number, since it uses less digits than its factorization.

13022103221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32555258071 (or 32555258060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13022103221200 its reverse (212230122031), we get a palindrome (13234333343231).

The spelling of 13022103221200 in words is "thirteen trillion, twenty-two billion, one hundred three million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 32555258053 65110516106 130221032212 162776290265 260442064424 325552580530 520884128848 651105161060 813881451325 1302210322120 1627762902650 2604420644240 3255525805300 6511051610600 13022103221200