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122424434001 = 3231343459153
BaseRepresentation
bin111001000000100010…
…0001001110101010001
3102200222222011121201100
41302001010021311101
54001211123342001
6132124020255013
711562535343052
oct1620104116521
9380888147640
10122424434001
1147a13446291
121b887841469
13b7105796bc
145cd5326729
1532b7c56586
hex1c81109d51

122424434001 has 12 divisors (see below), whose sum is σ = 177400266628. Its totient is φ = 81355532544.

The previous prime is 122424433987. The next prime is 122424434047. The reversal of 122424434001 is 100434424221.

122424434001 is a `hidden beast` number, since 1 + 224 + 2 + 4 + 434 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24579968400 + 97844465601 = 156780^2 + 312801^2 .

It is not a de Polignac number, because 122424434001 - 25 = 122424433969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122424434081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21726760 + ... + 21732393.

Almost surely, 2122424434001 is an apocalyptic number.

It is an amenable number.

122424434001 is a deficient number, since it is larger than the sum of its proper divisors (54975832627).

122424434001 is a wasteful number, since it uses less digits than its factorization.

122424434001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43459472 (or 43459469 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 122424434001 its reverse (100434424221), we get a palindrome (222858858222).

The spelling of 122424434001 in words is "one hundred twenty-two billion, four hundred twenty-four million, four hundred thirty-four thousand, one".

Divisors: 1 3 9 313 939 2817 43459153 130377459 391132377 13602714889 40808144667 122424434001