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13341130101 = 32132910936073
BaseRepresentation
bin11000110110011000…
…10111110101110101
31021102202200121222200
430123030113311311
5204310312130401
610043454415113
7651414510015
oct143314276565
937382617880
1013341130101
1157267a1562
122703b01499
131347c70830
14907ba7c45
15531387686
hex31b317d75

13341130101 has 48 divisors (see below), whose sum is σ = 21666044400. Its totient is φ = 7853884416.

The previous prime is 13341130073. The next prime is 13341130123. The reversal of 13341130101 is 10103114331.

It can be written as a sum of positive squares in 8 ways, for example, as 373842225 + 12967287876 = 19335^2 + 113874^2 .

It is not a de Polignac number, because 13341130101 - 26 = 13341130037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13341130141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351801 + ... + 387873.

It is an arithmetic number, because the mean of its divisors is an integer number (451375925).

Almost surely, 213341130101 is an apocalyptic number.

It is an amenable number.

13341130101 is a deficient number, since it is larger than the sum of its proper divisors (8324914299).

13341130101 is a wasteful number, since it uses less digits than its factorization.

13341130101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36230 (or 36227 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13341130101 its reverse (10103114331), we get a palindrome (23444244432).

The spelling of 13341130101 in words is "thirteen billion, three hundred forty-one million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 9 13 29 39 87 109 117 261 327 377 981 1131 1417 3161 3393 4251 9483 12753 28449 36073 41093 108219 123279 324657 369837 468949 1046117 1406847 3138351 3931957 4220541 9415053 11795871 13599521 35387613 40798563 51115441 114026753 122395689 153346323 342080259 460038969 1026240777 1482347789 4447043367 13341130101