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12322103229 = 323737003313
BaseRepresentation
bin10110111100111010…
…00101111110111101
31011210202012200220200
423132131011332331
5200213424300404
65354413234113
7614232102132
oct133635057675
934722180820
1012322103229
115253562597
12247a792939
131214b01157
1484c706589
154c1b98839
hex2de745fbd

12322103229 has 12 divisors (see below), whose sum is σ = 18279637116. Its totient is φ = 7992715392.

The previous prime is 12322103207. The next prime is 12322103243. The reversal of 12322103229 is 92230122321.

12322103229 is a `hidden beast` number, since 1 + 2 + 322 + 10 + 322 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8741876004 + 3580227225 = 93498^2 + 59835^2 .

It is not a de Polignac number, because 12322103229 - 212 = 12322099133 is a prime.

It is a super-2 number, since 2×123221032292 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322103249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18501324 + ... + 18501989.

It is an arithmetic number, because the mean of its divisors is an integer number (1523303093).

Almost surely, 212322103229 is an apocalyptic number.

It is an amenable number.

12322103229 is a deficient number, since it is larger than the sum of its proper divisors (5957533887).

12322103229 is a wasteful number, since it uses less digits than its factorization.

12322103229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37003356 (or 37003353 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12322103229 in words is "twelve billion, three hundred twenty-two million, one hundred three thousand, two hundred twenty-nine".

Divisors: 1 3 9 37 111 333 37003313 111009939 333029817 1369122581 4107367743 12322103229