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13210110331 = 1113734925117
BaseRepresentation
bin11000100110110001…
…00100100101111011
31021002122011010122121
430103120210211323
5204023242012311
610022454302111
7645234041125
oct142330444573
937078133577
1013210110331
115669843460
122688057937
131326a88b42
148d4620215
15524b06b71
hex31362497b

13210110331 has 16 divisors (see below), whose sum is σ = 14558392800. Its totient is φ = 11886900480.

The previous prime is 13210110307. The next prime is 13210110337. The reversal of 13210110331 is 13301101231.

13210110331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13210110331 - 25 = 13210110299 is a prime.

It is a super-2 number, since 2×132101103312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13210110337) 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 15 ways as a sum of consecutive naturals, for example, 513385 + ... + 538501.

It is an arithmetic number, because the mean of its divisors is an integer number (909899550).

Almost surely, 213210110331 is an apocalyptic number.

13210110331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13210110331 is a deficient number, since it is larger than the sum of its proper divisors (1348282469).

13210110331 is a wasteful number, since it uses less digits than its factorization.

13210110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25614.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13210110331 its reverse (13301101231), we get a palindrome (26511211562).

The spelling of 13210110331 in words is "thirteen billion, two hundred ten million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 11 137 349 1507 3839 25117 47813 276287 525943 3441029 8765833 37851319 96424163 1200919121 13210110331