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122434231329 = 32671128717989
BaseRepresentation
bin111001000000110100…
…1100001110000100001
3102201000122121101010100
41302001221201300201
54001221130400304
6132125010253013
711563014536514
oct1620151416041
9381018541110
10122434231329
1147a18a28153
121b88ab87169
13b7125c9c37
145cd6756d7b
1532b8a3e439
hex1c81a61c21

122434231329 has 24 divisors (see below), whose sum is σ = 179514870080. Its totient is φ = 80392976928.

The previous prime is 122434231321. The next prime is 122434231331. The reversal of 122434231329 is 923132434221.

122434231329 is a `hidden beast` number, since 1 + 224 + 3 + 423 + 1 + 3 + 2 + 9 = 666.

It is not a de Polignac number, because 122434231329 - 23 = 122434231321 is a prime.

It is a super-2 number, since 2×1224342313292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122434231293 and 122434231302.

It is not an unprimeable number, because it can be changed into a prime (122434231321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6797067 + ... + 6815055.

Almost surely, 2122434231329 is an apocalyptic number.

It is an amenable number.

122434231329 is a deficient number, since it is larger than the sum of its proper divisors (57080638751).

122434231329 is a wasteful number, since it uses less digits than its factorization.

122434231329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29349 (or 29346 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 122434231329 in words is "one hundred twenty-two billion, four hundred thirty-four million, two hundred thirty-one thousand, three hundred twenty-nine".

Divisors: 1 3 9 67 201 603 11287 17989 33861 53967 101583 161901 756229 1205263 2268687 3615789 6806061 10847367 203041843 609125529 1827376587 13603803481 40811410443 122434231329