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12132310229 = 137611226353
BaseRepresentation
bin10110100110010010…
…00101110011010101
31011022112002012212022
423103021011303111
5144321332411404
65323513302525
7606435635564
oct132311056325
934275065768
1012132310229
115166411276
122427104a45
1311b46ab9c0
1483141dbdb
154b01a88be
hex2d3245cd5

12132310229 has 8 divisors (see below), whose sum is σ = 13082744472. Its totient is φ = 11184330240.

The previous prime is 12132310193. The next prime is 12132310237. The reversal of 12132310229 is 92201323121.

12132310229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3044501329 + 9087808900 = 55177^2 + 95330^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12132310229 - 224 = 12115533013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12132310198 and 12132310207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132340229) 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 7 ways as a sum of consecutive naturals, for example, 603284 + ... + 623069.

It is an arithmetic number, because the mean of its divisors is an integer number (1635343059).

Almost surely, 212132310229 is an apocalyptic number.

It is an amenable number.

12132310229 is a deficient number, since it is larger than the sum of its proper divisors (950434243).

12132310229 is a wasteful number, since it uses less digits than its factorization.

12132310229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227127.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 12132310229 in words is "twelve billion, one hundred thirty-two million, three hundred ten thousand, two hundred twenty-nine".

Divisors: 1 13 761 9893 1226353 15942589 933254633 12132310229