Base | Representation |
---|---|

bin | 1110101100001… |

… | …01111111001001 |

3 | 22120212211210121 |

4 | 13112011333021 |

5 | 223021412301 |

6 | 20121143241 |

7 | 3024312361 |

oct | 726057711 |

9 | 276784717 |

10 | 123232201 |

11 | 6361a1a4 |

12 | 3532ab21 |

13 | 1c6b9181 |

14 | 1251b9a1 |

15 | ac433a1 |

hex | 7585fc9 |

123232201 has 9 divisors (see below), whose sum is σ = 131108341. Its totient is φ = 115805632.

The previous prime is 123232189. The next prime is 123232211. The reversal of 123232201 is 102232321.

The square root of 123232201 is 11101.

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 22201 + 123210000 = 149^2 + 11100^2 .

It is not a de Polignac number, because 123232201 - 2^{19} = 122707913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123232211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 188391 + ... + 189043.

Almost surely, 2^{123232201} is an apocalyptic number.

123232201 is the 11101-st square number.

123232201 is the 5551-st centered octagonal number.

It is an amenable number.

123232201 is a deficient number, since it is larger than the sum of its proper divisors (7876140).

123232201 is an frugal number, since it uses more digits than its factorization.

123232201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The cubic root of 123232201 is about 497.6317350191.

Multiplying 123232201 by its sum of digits (16), we get a square (1971715216 = 44404^{2}).

Multiplying 123232201 by its product of nonzero digits (144), we get a square (17745436944 = 133212^{2}).

Adding to 123232201 its reverse (102232321), we get a palindrome (225464522).

It can be divided in two parts, 1232 and 32201, that added together give a palindrome (33433).

The spelling of 123232201 in words is "one hundred twenty-three million, two hundred thirty-two thousand, two hundred one".

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