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12262340361601 = 112611661338621
BaseRepresentation
bin1011001001110000110001…
…1100001111110110000001
31121102021020120202021121101
42302130030130033312001
53101401233113032401
642025124050254401
72403632140210621
oct262341434176601
947367216667541
1012262340361601
1139a847a501400
121460634b87401
136ac4452a3395
143057012ca881
15163e892dd101
hexb270c70fd81

12262340361601 has 12 divisors (see below), whose sum is σ = 13699398277012. Its totient is φ = 10964834892000.

The previous prime is 12262340361587. The next prime is 12262340361617. The reversal of 12262340361601 is 10616304326221.

It can be written as a sum of positive squares in 2 ways, for example, as 3923667680625 + 8338672680976 = 1980825^2 + 2887676^2 .

It is not a de Polignac number, because 12262340361601 - 217 = 12262340230529 is a prime.

It is a super-2 number, since 2×122623403616012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12262340361641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 830661930 + ... + 830676691.

Almost surely, 212262340361601 is an apocalyptic number.

12262340361601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12262340361601 is a deficient number, since it is larger than the sum of its proper divisors (1437057915411).

12262340361601 is a wasteful number, since it uses less digits than its factorization.

12262340361601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661338704 (or 1661338693 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

Adding to 12262340361601 its reverse (10616304326221), we get a palindrome (22878644687822).

The spelling of 12262340361601 in words is "twelve trillion, two hundred sixty-two billion, three hundred forty million, three hundred sixty-one thousand, six hundred one".

Divisors: 1 11 61 121 671 7381 1661338621 18274724831 101341655881 201021973141 1114758214691 12262340361601