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20123003302020 = 22325263523812761
BaseRepresentation
bin1001001001101010000000…
…11101101011000010000100
32122020201222200212200000100
410210311000131223002010
510114143402321131040
6110444214033444100
74144560531601563
oct444650035530204
978221880780010
1020123003302020
116459132838443
12230bb81110630
13b2c78b76a598
144d7d5c3c9bda
1524d6a3833b30
hex124d4076b084

20123003302020 has 144 divisors (see below), whose sum is σ = 61389097241472. Its totient is φ = 5335502814720.

The previous prime is 20123003302019. The next prime is 20123003302057. The reversal of 20123003302020 is 2020330032102.

It is a happy number.

20123003302020 is a `hidden beast` number, since 2 + 0 + 12 + 300 + 330 + 2 + 0 + 20 = 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 = 20123003301984 and 20123003302002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24352440 + ... + 25165200.

It is an arithmetic number, because the mean of its divisors is an integer number (426313175288).

Almost surely, 220123003302020 is an apocalyptic number.

20123003302020 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 20123003302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30694548620736).

20123003302020 is an abundant number, since it is smaller than the sum of its proper divisors (41266093939452).

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

20123003302020 is a wasteful number, since it uses less digits than its factorization.

20123003302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813562 (or 813557 counting only the distinct ones).

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

Adding to 20123003302020 its reverse (2020330032102), we get a palindrome (22143333334122).

The spelling of 20123003302020 in words is "twenty trillion, one hundred twenty-three billion, three million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 263 523 526 789 1046 1052 1315 1569 1578 2092 2367 2615 2630 3138 3156 3945 4707 4734 5230 5260 6276 7845 7890 9414 9468 10460 11835 15690 15780 18828 23535 23670 31380 47070 47340 94140 137549 275098 412647 550196 687745 812761 825294 1237941 1375490 1625522 1650588 2063235 2438283 2475882 2750980 3251044 4063805 4126470 4876566 4951764 6189705 7314849 8127610 8252940 9753132 12191415 12379410 14629698 16255220 24382830 24758820 29259396 36574245 48765660 73148490 146296980 213756143 425074003 427512286 641268429 850148006 855024572 1068780715 1275222009 1282536858 1700296012 1923805287 2125370015 2137561430 2550444018 2565073716 3206342145 3825666027 3847610574 4250740030 4275122860 5100888036 6376110045 6412684290 7651332054 7695221148 8501480060 9619026435 12752220090 12825368580 15302664108 19128330135 19238052870 25504440180 38256660270 38476105740 76513320540 111794462789 223588925578 335383388367 447177851156 558972313945 670766776734 1006150165101 1117944627890 1341533553468 1676916941835 2012300330202 2235889255780 3353833883670 4024600660404 5030750825505 6707667767340 10061501651010 20123003302020