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10097131826197 = 135346957312089
BaseRepresentation
bin1001001011101110101111…
…1101001010110000010101
31022202021110110220021021201
42102323223331022300111
52310412411221414242
633250320333112501
72061331224265123
oct222735375126025
938667413807251
1010097131826197
113243195758749
121170a85028731
1358320368b4b0
1426c9bd2a0913
151279b24784b7
hex92eebf4ac15

10097131826197 has 16 divisors (see below), whose sum is σ = 11079272398320. Its totient is φ = 9144348175872.

The previous prime is 10097131826183. The next prime is 10097131826203. The reversal of 10097131826197 is 79162813179001.

It can be written as a sum of positive squares in 8 ways, for example, as 1604564357796 + 8492567468401 = 1266714^2 + 2914201^2 .

It is not a de Polignac number, because 10097131826197 - 27 = 10097131826069 is a prime.

It is a super-2 number, since 2×100971318261972 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097131826797) 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, 32197329 + ... + 32509417.

It is an arithmetic number, because the mean of its divisors is an integer number (692454524895).

Almost surely, 210097131826197 is an apocalyptic number.

It is an amenable number.

10097131826197 is a deficient number, since it is larger than the sum of its proper divisors (982140572123).

10097131826197 is a wasteful number, since it uses less digits than its factorization.

10097131826197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359112.

The product of its (nonzero) digits is 1143072, while the sum is 55.

The spelling of 10097131826197 in words is "ten trillion, ninety-seven billion, one hundred thirty-one million, eight hundred twenty-six thousand, one hundred ninety-seven".

Divisors: 1 13 53 689 46957 312089 610441 2488721 4057157 16540717 32353373 215029321 14654763173 190511921249 776702448169 10097131826197