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20301330042 = 2327267343543
BaseRepresentation
bin10010111010000011…
…011011011001111010
31221101211112102100200
4102322003123121322
5313034120030132
613154251543030
71316041313100
oct227203333172
957354472320
1020301330042
118678631814
123b26a5aa76
131bb6c4cc36
14da8323c70
157dc43dd7c
hex4ba0db67a

20301330042 has 72 divisors (see below), whose sum is σ = 51931485216. Its totient is φ = 5713790544.

The previous prime is 20301330041. The next prime is 20301330053. The reversal of 20301330042 is 24003310302.

20301330042 is a `hidden beast` number, since 20 + 301 + 3 + 300 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20301329997 and 20301330024.

It is not an unprimeable number, because it can be changed into a prime (20301330041) 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 35 ways as a sum of consecutive naturals, for example, 112678 + ... + 230865.

It is an arithmetic number, because the mean of its divisors is an integer number (721270628).

Almost surely, 220301330042 is an apocalyptic number.

20301330042 is an abundant number, since it is smaller than the sum of its proper divisors (31630155174).

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

20301330042 is a wasteful number, since it uses less digits than its factorization.

20301330042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343632 (or 343622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20301330042 its reverse (24003310302), we get a palindrome (44304640344).

The spelling of 20301330042 in words is "twenty billion, three hundred one million, three hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 294 402 441 469 603 882 938 1206 1407 2814 3283 4221 6566 8442 9849 19698 29547 59094 343543 687086 1030629 2061258 2404801 3091887 4809602 6183774 7214403 14428806 16833607 21643209 23017381 33667214 43286418 46034762 50500821 69052143 101001642 138104286 151502463 161121667 207156429 303004926 322243334 414312858 483365001 966730002 1127851669 1450095003 2255703338 2900190006 3383555007 6767110014 10150665021 20301330042