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122434010430 = 2356760912443
BaseRepresentation
bin111001000000110100…
…0101011110100111110
3102201000122012011002220
41302001220223310332
54001221101313210
6132125001430210
711563012626504
oct1620150536476
9381018164086
10122434010430
1147a18897196
121b88aa9b366
13b712550524
145cd66da674
1532b89e8c70
hex1c81a2bd3e

122434010430 has 32 divisors (see below), whose sum is σ = 298227325824. Its totient is φ = 32161769376.

The previous prime is 122434010401. The next prime is 122434010431. The reversal of 122434010430 is 34010434221.

It is a self number, because there is not a number n which added to its sum of digits gives 122434010430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122434010431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30454212 + ... + 30458231.

It is an arithmetic number, because the mean of its divisors is an integer number (9319603932).

Almost surely, 2122434010430 is an apocalyptic number.

122434010430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122434010430 is an abundant number, since it is smaller than the sum of its proper divisors (175793315394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122434010430 is a wasteful number, since it uses less digits than its factorization.

122434010430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60912520.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122434010430 its reverse (34010434221), we get a palindrome (156444444651).

The spelling of 122434010430 in words is "one hundred twenty-two billion, four hundred thirty-four million, ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 2010 60912443 121824886 182737329 304562215 365474658 609124430 913686645 1827373290 4081133681 8162267362 12243401043 20405668405 24486802086 40811336810 61217005215 122434010430