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12202121314 = 217937738273
BaseRepresentation
bin10110101110100110…
…11001100001100010
31011111101102222200001
423113103121201202
5144442220340224
65334445450214
7611244214465
oct132723314142
934441388601
1012202121314
1151a1863389
12244657096a
1311c5cb2536
1483a7d32dc
154b6398544
hex2d74d9862

12202121314 has 16 divisors (see below), whose sum is σ = 19382412888. Its totient is φ = 5741412352.

The previous prime is 12202121311. The next prime is 12202121317. The reversal of 12202121314 is 41312120221.

12202121314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12202121311) and next prime (12202121317).

It can be written as a sum of positive squares in 4 ways, for example, as 11509642089 + 692479225 = 107283^2 + 26315^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12202121291 and 12202121300.

It is not an unprimeable number, because it can be changed into a prime (12202121311) 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, 299682 + ... + 337954.

Almost surely, 212202121314 is an apocalyptic number.

12202121314 is a deficient number, since it is larger than the sum of its proper divisors (7180291574).

12202121314 is a wasteful number, since it uses less digits than its factorization.

12202121314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47669.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12202121314 its reverse (41312120221), we get a palindrome (53514241535).

The spelling of 12202121314 in words is "twelve billion, two hundred two million, one hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 17 34 9377 18754 38273 76546 159409 318818 650641 1301282 358885921 717771842 6101060657 12202121314