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20123231132420 = 225131091117635689
BaseRepresentation
bin1001001001101010011100…
…00010110001101100000100
32122020202120120120122120022
410210311032002301230010
510114144334132214140
6110444252412554312
74144566266250263
oct444651602615404
978222516518508
1020123231132420
11645923a3a9829
122310025482998
13b2c7c6a1a180
144d7d807745da
1524d6b88390b5
hex124d4e0b1b04

20123231132420 has 96 divisors (see below), whose sum is σ = 45968167845600. Its totient is φ = 7355347513344.

The previous prime is 20123231132401. The next prime is 20123231132423. The reversal of 20123231132420 is 2423113232102.

It can be written as a sum of positive squares in 16 ways, for example, as 14044925494336 + 6078305638084 = 3747656^2 + 2465422^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20123231132420.

It is not an unprimeable number, because it can be changed into a prime (20123231132423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31337936 + ... + 31973624.

It is an arithmetic number, because the mean of its divisors is an integer number (478835081725).

Almost surely, 220123231132420 is an apocalyptic number.

20123231132420 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 20123231132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22984083922800).

20123231132420 is an abundant number, since it is smaller than the sum of its proper divisors (25844936713180).

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

20123231132420 is a wasteful number, since it uses less digits than its factorization.

20123231132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636937 (or 636935 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 20123231132420 its reverse (2423113232102), we get a palindrome (22546344364522).

The spelling of 20123231132420 in words is "twenty trillion, one hundred twenty-three billion, two hundred thirty-one million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1117 1417 2180 2234 2834 4468 5585 5668 7085 11170 14170 14521 22340 28340 29042 58084 72605 121753 145210 243506 290420 487012 608765 635689 1217530 1271378 1582789 2435060 2542756 3165578 3178445 6331156 6356890 7913945 8263957 12713780 15827890 16527914 31655780 33055828 41319785 69290101 82639570 138580202 165279140 277160404 346450505 692901010 710064613 900771313 1385802020 1420129226 1801542626 2840258452 3550323065 3603085252 4503856565 7100646130 9007713130 9230839969 14201292260 18015426260 18461679938 36923359876 46154199845 77397042817 92308399690 154794085634 184616799380 309588171268 386985214085 773970428170 1006161556621 1547940856340 2012323113242 4024646226484 5030807783105 10061615566210 20123231132420