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1281195346201 = 23229216972
BaseRepresentation
bin10010101001001101001…
…100011000100100011001
311112110222201002001200221
4102221031030120210121
5131442342002034301
62420323434400041
7161364133521001
oct22511514304431
94473881061627
101281195346201
114543964104a1
12188379890021
1393a7c274964
144601dd41001
15234d80c5da1
hex12a4d318919

1281195346201 has 27 divisors (see below), whose sum is σ = 1387915306141. Its totient is φ = 1182535633664.

The previous prime is 1281195346183. The next prime is 1281195346229. The reversal of 1281195346201 is 1026435911821.

The square root of 1281195346201 is 1131899.

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

It can be written as a sum of positive squares in 4 ways, for example, as 426820489225 + 854374856976 = 653315^2 + 924324^2 .

It is not a de Polignac number, because 1281195346201 - 27 = 1281195346073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1281195346241) 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 26 ways as a sum of consecutive naturals, for example, 754975785 + ... + 754977481.

Almost surely, 21281195346201 is an apocalyptic number.

1281195346201 is the 1131899-th square number.

1281195346201 is the 565950-th centered octagonal number.

It is an amenable number.

1281195346201 is a deficient number, since it is larger than the sum of its proper divisors (106719959940).

1281195346201 is an frugal number, since it uses more digits than its factorization.

1281195346201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 1281195346201 in words is "one trillion, two hundred eighty-one billion, one hundred ninety-five million, three hundred forty-six thousand, two hundred one".

Divisors: 1 23 29 529 667 841 1697 15341 19343 39031 49213 444889 897713 1131899 1427177 2879809 26033677 32825071 66235607 83514461 754976633 1523418961 1920832603 2421919369 44179149869 55704145487 1281195346201