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12323131405 = 5131153164429
BaseRepresentation
bin10110111101000010…
…00001000000001101
31011210211010221022021
423132201001000031
5200214210201110
65354451250141
7614243613544
oct133641010015
934724127267
1012323131405
1152540a5022
12247aba9951
1312150a1140
1484c8d315b
154c1ced2da
hex2de84100d

12323131405 has 16 divisors (see below), whose sum is σ = 15939186480. Its totient is φ = 9092210688.

The previous prime is 12323131363. The next prime is 12323131427. The reversal of 12323131405 is 50413132321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2467804329 + 9855327076 = 49677^2 + 99274^2 .

It is a cyclic number.

It is not a de Polignac number, because 12323131405 - 215 = 12323098637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12323131405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7270 + ... + 157159.

It is an arithmetic number, because the mean of its divisors is an integer number (996199155).

Almost surely, 212323131405 is an apocalyptic number.

It is an amenable number.

12323131405 is a deficient number, since it is larger than the sum of its proper divisors (3616055075).

12323131405 is a wasteful number, since it uses less digits than its factorization.

12323131405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165600.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 12323131405 its reverse (50413132321), we get a palindrome (62736263726).

The spelling of 12323131405 in words is "twelve billion, three hundred twenty-three million, one hundred thirty-one thousand, four hundred five".

Divisors: 1 5 13 65 1153 5765 14989 74945 164429 822145 2137577 10687885 189586637 947933185 2464626281 12323131405