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10134221301 = 3237138122037
BaseRepresentation
bin10010111000000101…
…11111000111110101
3222011021022210010200
421130002333013311
5131223330040201
64353335311113
7506064313461
oct113402770765
928137283120
1010134221301
11433055a506
121b69b1b499
13c56753469
146c1d014a1
153e4a72386
hex25c0bf1f5

10134221301 has 24 divisors (see below), whose sum is σ = 15045518904. Its totient is φ = 6568490880.

The previous prime is 10134221299. The next prime is 10134221327. The reversal of 10134221301 is 10312243101.

10134221301 is a `hidden beast` number, since 1 + 0 + 1 + 342 + 21 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1340658225 + 8793563076 = 36615^2 + 93774^2 .

It is not a de Polignac number, because 10134221301 - 21 = 10134221299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134021301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448855 + ... + 470891.

It is an arithmetic number, because the mean of its divisors is an integer number (626896621).

Almost surely, 210134221301 is an apocalyptic number.

It is an amenable number.

10134221301 is a deficient number, since it is larger than the sum of its proper divisors (4911297603).

10134221301 is a wasteful number, since it uses less digits than its factorization.

10134221301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23461 (or 23458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10134221301 its reverse (10312243101), we get a palindrome (20446464402).

The spelling of 10134221301 in words is "ten billion, one hundred thirty-four million, two hundred twenty-one thousand, three hundred one".

Divisors: 1 3 9 37 111 333 1381 4143 12429 22037 51097 66111 153291 198333 459873 815369 2446107 7338321 30433097 91299291 273897873 1126024589 3378073767 10134221301