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13121312202 = 23310714915241
BaseRepresentation
bin11000011100001011…
…10101010111001010
31020212110001201112000
430032011311113022
5203333023442302
610010003131430
7643105212345
oct141605652712
936773051460
1013121312202
115623703079
122662373b76
131311567c7b
148c690745c
1551be1631c
hex30e1755ca

13121312202 has 64 divisors (see below), whose sum is σ = 29630448000. Its totient is φ = 4303532160.

The previous prime is 13121312179. The next prime is 13121312203. The reversal of 13121312202 is 20221312131.

13121312202 is a `hidden beast` number, since 1 + 312 + 131 + 220 + 2 = 666.

13121312202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13121312203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853302 + ... + 868542.

It is an arithmetic number, because the mean of its divisors is an integer number (462975750).

Almost surely, 213121312202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121312202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815224000).

13121312202 is an abundant number, since it is smaller than the sum of its proper divisors (16509135798).

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

13121312202 is a wasteful number, since it uses less digits than its factorization.

13121312202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15508 (or 15502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121312202 its reverse (20221312131), we get a palindrome (33342624333).

The spelling of 13121312202 in words is "thirteen billion, one hundred twenty-one million, three hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 107 149 214 298 321 447 642 894 963 1341 1926 2682 2889 4023 5778 8046 15241 15943 30482 31886 45723 47829 91446 95658 137169 143487 274338 286974 411507 430461 823014 860922 1630787 2270909 3261574 4541818 4892361 6812727 9784722 13625454 14677083 20438181 29354166 40876362 44031249 61314543 88062498 122629086 242987263 485974526 728961789 1457923578 2186885367 4373770734 6560656101 13121312202