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23020013022201 = 32131609122282317
BaseRepresentation
bin1010011101111110000111…
…01100101110101111111001
310000111200200021202122110100
411032333003230232233321
511004124441313202301
6120543125322110013
74564066245120336
oct516770354565771
9100450607678410
1023020013022201
117375807247588
1226b952394b309
13caca160ca8c0
1459826306998d
1529dc0b569286
hex14efc3b2ebf9

23020013022201 has 24 divisors (see below), whose sum is σ = 35831164820360. Its totient is φ = 14157357417216.

The previous prime is 23020013022187. The next prime is 23020013022287. The reversal of 23020013022201 is 10222031002032.

23020013022201 is a `hidden beast` number, since 230 + 200 + 1 + 30 + 2 + 2 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11699991275625 + 11320021746576 = 3420525^2 + 3364524^2 .

It is not a de Polignac number, because 23020013022201 - 219 = 23020012497913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23020013026201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60952906 + ... + 61329411.

Almost surely, 223020013022201 is an apocalyptic number.

It is an amenable number.

23020013022201 is a deficient number, since it is larger than the sum of its proper divisors (12811151798159).

23020013022201 is a wasteful number, since it uses less digits than its factorization.

23020013022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122283945 (or 122283942 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23020013022201 its reverse (10222031002032), we get a palindrome (33242044024233).

The spelling of 23020013022201 in words is "twenty-three trillion, twenty billion, thirteen million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 13 39 117 1609 4827 14481 20917 62751 188253 122282317 366846951 1100540853 1589670121 4769010363 14307031089 196752248053 590256744159 1770770232477 2557779224689 7673337674067 23020013022201