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12175136281 = 7211214332
BaseRepresentation
bin10110101011011000…
…11101011000011001
31011102111200000011101
423111230131120121
5144413313330111
65332043231401
7610465644100
oct132554353031
934374600141
1012175136281
115188602100
122439518561
1311c0524969
14836dab037
154b3d17bc1
hex2d5b1d619

12175136281 has 27 divisors (see below), whose sum is σ = 15578371263. Its totient is φ = 9480498720.

The previous prime is 12175136251. The next prime is 12175136353. The reversal of 12175136281 is 18263157121.

The square root of 12175136281 is 110341.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10097235225 + 2077901056 = 100485^2 + 45584^2 .

It is not a de Polignac number, because 12175136281 - 25 = 12175136249 is a prime.

It is a super-2 number, since 2×121751362812 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12175136281.

It is not an unprimeable number, because it can be changed into a prime (12175136251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8495541 + ... + 8496973.

Almost surely, 212175136281 is an apocalyptic number.

12175136281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12175136281 is the 110341-st square number.

12175136281 is the 55171-st centered octagonal number.

It is an amenable number.

12175136281 is a deficient number, since it is larger than the sum of its proper divisors (3403234982).

12175136281 is an frugal number, since it uses more digits than its factorization.

12175136281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 1451 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The spelling of 12175136281 in words is "twelve billion, one hundred seventy-five million, one hundred thirty-six thousand, two hundred eighty-one".

Divisors: 1 7 11 49 77 121 539 847 1433 5929 10031 15763 70217 110341 173393 772387 1213751 2053489 8496257 14374423 22588379 100620961 158118653 248472169 1106830571 1739305183 12175136281