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122434030431 = 3213603781159
BaseRepresentation
bin111001000000110100…
…0110000101101011111
3102201000122020011112200
41302001220300231133
54001221102433211
6132125002102543
711563013042016
oct1620150605537
9381018204480
10122434030431
1147a18900219
121b88aaaaa53
13b71255966b
145cd6703a7d
1532b89eeb56
hex1c81a30b5f

122434030431 has 6 divisors (see below), whose sum is σ = 176849155080. Its totient is φ = 81622686948.

The previous prime is 122434030391. The next prime is 122434030471. The reversal of 122434030431 is 134030434221.

122434030431 is a `hidden beast` number, since 1 + 224 + 3 + 4 + 0 + 3 + 0 + 431 = 666.

It is an interprime number because it is at equal distance from previous prime (122434030391) and next prime (122434030471).

It is not a de Polignac number, because 122434030431 - 214 = 122434014047 is a prime.

It is a super-2 number, since 2×1224340304312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122434030395 and 122434030404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122434030471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6801890571 + ... + 6801890588.

It is an arithmetic number, because the mean of its divisors is an integer number (29474859180).

Almost surely, 2122434030431 is an apocalyptic number.

122434030431 is a deficient number, since it is larger than the sum of its proper divisors (54415124649).

122434030431 is a wasteful number, since it uses less digits than its factorization.

122434030431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13603781165 (or 13603781162 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122434030431 its reverse (134030434221), we get a palindrome (256464464652).

The spelling of 122434030431 in words is "one hundred twenty-two billion, four hundred thirty-four million, thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 13603781159 40811343477 122434030431