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12202306314 = 23111018592131
BaseRepresentation
bin10110101110101000…
…00110101100001010
31011111101210101102220
423113110012230022
5144442242300224
65334453434510
7611245615032
oct132724065412
934441711386
1012202306314
1151a197a380
12244663ba36
1311c60487c3
1483a8408c2
154b63d3279
hex2d7506b0a

12202306314 has 64 divisors (see below), whose sum is σ = 26930741760. Its totient is φ = 3655080000.

The previous prime is 12202306289. The next prime is 12202306321. The reversal of 12202306314 is 41360320221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5725029 + ... + 5727159.

It is an arithmetic number, because the mean of its divisors is an integer number (420792840).

Almost surely, 212202306314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202306314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465370880).

12202306314 is an abundant number, since it is smaller than the sum of its proper divisors (14728435446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12202306314 is a wasteful number, since it uses less digits than its factorization.

12202306314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12202306314 its reverse (41360320221), we get a palindrome (53562626535).

The spelling of 12202306314 in words is "twelve billion, two hundred two million, three hundred six thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 859 1111 1718 2131 2222 2577 3333 4262 5154 6393 6666 9449 12786 18898 23441 28347 46882 56694 70323 86759 140646 173518 215231 260277 430462 520554 645693 954349 1291386 1830529 1908698 2367541 2863047 3661058 4735082 5491587 5726094 7102623 10983174 14205246 20135819 40271638 60407457 120814914 184883429 369766858 554650287 1109300574 2033717719 4067435438 6101153157 12202306314