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1223131300101 = 3457172641313
BaseRepresentation
bin10001110011001000010…
…011101000000100000101
311022221010010022220110000
4101303020103220010011
5130014433103100401
62333522044351513
7154240222336524
oct21631023500405
94287103286400
101223131300101
114317aa806237
12179074245599
138b457929329
14432b26344bb
1521c3a7d4186
hex11cc84e8105

1223131300101 has 20 divisors (see below), whose sum is σ = 1827467047692. Its totient is φ = 815277927168.

The previous prime is 1223131300091. The next prime is 1223131300103. The reversal of 1223131300101 is 1010031313221.

1223131300101 is a `hidden beast` number, since 1 + 2 + 231 + 31 + 300 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 856411430625 + 366719869476 = 925425^2 + 605574^2 .

It is not a de Polignac number, because 1223131300101 - 29 = 1223131299589 is a prime.

It is a super-2 number, since 2×12231313001012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223131300103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 857580 + ... + 1783733.

Almost surely, 21223131300101 is an apocalyptic number.

It is an amenable number.

1223131300101 is a deficient number, since it is larger than the sum of its proper divisors (604335747591).

1223131300101 is an equidigital number, since it uses as much as digits as its factorization.

1223131300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647042 (or 2647033 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1223131300101 its reverse (1010031313221), we get a palindrome (2233162613322).

The spelling of 1223131300101 in words is "one trillion, two hundred twenty-three billion, one hundred thirty-one million, three hundred thousand, one hundred one".

Divisors: 1 3 9 27 81 5717 17151 51453 154359 463077 2641313 7923939 23771817 71315451 213946353 15100386421 45301159263 135903477789 407710433367 1223131300101