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431106663 = 313229109269
BaseRepresentation
bin11001101100100…
…010101001100111
31010001012111011110
4121230202221213
51340330403123
6110440040103
713453226511
oct3154425147
91101174143
10431106663
112013918a9
12100463033
136b413200
1441380bb1
1527caa493
hex19b22a67

431106663 has 48 divisors (see below), whose sum is σ = 652212000. Its totient is φ = 252854784.

The previous prime is 431106653. The next prime is 431106737. The reversal of 431106663 is 366601134.

It is not a de Polignac number, because 431106663 - 25 = 431106631 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 431106663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431106623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602493 + ... + 1602761.

It is an arithmetic number, because the mean of its divisors is an integer number (13587750).

Almost surely, 2431106663 is an apocalyptic number.

431106663 is a deficient number, since it is larger than the sum of its proper divisors (221105337).

431106663 is a wasteful number, since it uses less digits than its factorization.

431106663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 431106663 is about 20763.1082210733. The cubic root of 431106663 is about 755.4311897435.

Adding to 431106663 its reverse (366601134), we get a palindrome (797707797).

The spelling of 431106663 in words is "four hundred thirty-one million, one hundred six thousand, six hundred sixty-three".

Divisors: 1 3 13 29 39 87 109 169 269 327 377 507 807 1131 1417 3161 3497 4251 4901 7801 9483 10491 14703 18421 23403 29321 41093 45461 55263 87963 101413 123279 136383 304239 381173 534209 850309 1143519 1318369 1602627 2550927 3955107 4955249 11054017 14865747 33162051 143702221 431106663