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13211132103 = 331337638553
BaseRepresentation
bin11000100110111000…
…11110000011000111
31021002201002001021000
430103130132003013
5204024022211403
610022532224343
7645245525061
oct142334360307
937081061230
1013211132103
11566a3810a4
12268846b0b3
131327055c40
148d4808731
15524c597a3
hex31371e0c7

13211132103 has 16 divisors (see below), whose sum is σ = 21077590240. Its totient is φ = 8129927232.

The previous prime is 13211132083. The next prime is 13211132107. The reversal of 13211132103 is 30123111231.

13211132103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13211132103 - 25 = 13211132071 is a prime.

It is a super-2 number, since 2×132111321032 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211132107) 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, 18818926 + ... + 18819627.

It is an arithmetic number, because the mean of its divisors is an integer number (1317349390).

Almost surely, 213211132103 is an apocalyptic number.

13211132103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13211132103 is a deficient number, since it is larger than the sum of its proper divisors (7866458137).

13211132103 is a wasteful number, since it uses less digits than its factorization.

13211132103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37638575 (or 37638569 counting only the distinct ones).

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

Adding to 13211132103 its reverse (30123111231), we get a palindrome (43334243334).

The spelling of 13211132103 in words is "thirteen billion, two hundred eleven million, one hundred thirty-two thousand, one hundred three".

Divisors: 1 3 9 13 27 39 117 351 37638553 112915659 338746977 489301189 1016240931 1467903567 4403710701 13211132103