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12131223001 = 177313771353
BaseRepresentation
bin10110100110001001…
…11100010111011001
31011022110000222110121
423103010330113121
5144321043114001
65323434113241
7606423460042
oct132304742731
934273028417
1012131223001
115165839437
12242687b821
1311b43bab81
148312198c9
154b00416a1
hex2d313c5d9

12131223001 has 16 divisors (see below), whose sum is σ = 13116006864. Its totient is φ = 11178860544.

The previous prime is 12131222993. The next prime is 12131223023. The reversal of 12131223001 is 10032213121.

It can be written as a sum of positive squares in 8 ways, for example, as 3736265625 + 8394957376 = 61125^2 + 91624^2 .

It is not a de Polignac number, because 12131223001 - 23 = 12131222993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12131223061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134341 + ... + 205693.

It is an arithmetic number, because the mean of its divisors is an integer number (819750429).

Almost surely, 212131223001 is an apocalyptic number.

It is an amenable number.

12131223001 is a deficient number, since it is larger than the sum of its proper divisors (984783863).

12131223001 is a wasteful number, since it uses less digits than its factorization.

12131223001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71580.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12131223001 its reverse (10032213121), we get a palindrome (22163436122).

The spelling of 12131223001 in words is "twelve billion, one hundred thirty-one million, two hundred twenty-three thousand, one".

Divisors: 1 17 73 137 1241 2329 10001 71353 170017 1213001 5208769 9775361 88549073 166181137 713601353 12131223001