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20142113420 = 225111346115277
BaseRepresentation
bin10010110000100100…
…000100001010001100
31220222201221101012202
4102300210010022030
5312222340112140
613130403221032
71312066065512
oct226044041214
956881841182
1020142113420
1185a6774a30
123aa1677778
131b8cc74c10
14d9111a4b2
157cd48d915
hex4b090428c

20142113420 has 96 divisors (see below), whose sum is σ = 49804324416. Its totient is φ = 6745881600.

The previous prime is 20142113413. The next prime is 20142113429. The reversal of 20142113420 is 2431124102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20142113392 and 20142113401.

It is not an unprimeable number, because it can be changed into a prime (20142113429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310822 + ... + 1326098.

It is an arithmetic number, because the mean of its divisors is an integer number (518795046).

Almost surely, 220142113420 is an apocalyptic number.

20142113420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24902162208).

20142113420 is an abundant number, since it is smaller than the sum of its proper divisors (29662210996).

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

20142113420 is a wasteful number, since it uses less digits than its factorization.

20142113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15771 (or 15769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20142113420 its reverse (2431124102), we get a palindrome (22573237522).

The spelling of 20142113420 in words is "twenty billion, one hundred forty-two million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 461 572 715 922 1430 1844 2305 2860 4610 5071 5993 9220 10142 11986 15277 20284 23972 25355 29965 30554 50710 59930 61108 65923 76385 101420 119860 131846 152770 168047 198601 263692 305540 329615 336094 397202 659230 672188 794404 840235 993005 1318460 1680470 1986010 2184611 3360940 3972020 4369222 7042697 8738444 10923055 14085394 21846110 28170788 35213485 43692220 70426970 77469667 91555061 140853940 154939334 183110122 309878668 366220244 387348335 457775305 774696670 915550610 1007105671 1549393340 1831101220 2014211342 4028422684 5035528355 10071056710 20142113420