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20020201200120 = 23351123659426917
BaseRepresentation
bin1001000110101010100001…
…11110110001100111111000
32121212220122020120210120210
410203111100332301213320
510111002333001400440
6110325053051551120
74134261151262022
oct443252076614770
977786566523523
1020020201200120
116419579719750
1222b4070a5b4a0
13b22b87575ca4
144d2da9159012
1524ab885e6a80
hex123550fb19f8

20020201200120 has 128 divisors (see below), whose sum is σ = 68369382858240. Its totient is φ = 4642365488640.

The previous prime is 20020201200101. The next prime is 20020201200121. The reversal of 20020201200120 is 2100210202002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20020201200096 and 20020201200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020201200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329683099 + ... + 329743818.

It is an arithmetic number, because the mean of its divisors is an integer number (534135803580).

Almost surely, 220020201200120 is an apocalyptic number.

20020201200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020201200120 is an abundant number, since it is smaller than the sum of its proper divisors (48349181658120).

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

20020201200120 is a wasteful number, since it uses less digits than its factorization.

20020201200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659426965 (or 659426961 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020201200120 its reverse (2100210202002), we get a palindrome (22120411402122).

The spelling of 20020201200120 in words is "twenty trillion, twenty billion, two hundred one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 659426917 1318853834 1978280751 2637707668 3297134585 3956561502 5275415336 6594269170 7253696087 7913123004 9891403755 13188538340 14507392174 15166819091 15826246008 19782807510 21761088261 26377076680 29014784348 30333638182 36268480435 39565615020 43522176522 45500457273 58029568696 60667276364 72536960870 75834095455 79131230040 87044353044 91000914546 108805441305 121334552728 145073921740 151668190910 166835010001 174088706088 182001829092 217610882610 227502286365 290147843480 303336381820 333670020002 364003658184 435221765220 455004572730 500505030003 606672763640 667340040004 834175050005 870443530440 910009145460 1001010060006 1334680080008 1668350100010 1820018290920 2002020120012 2502525150015 3336700200020 4004040240024 5005050300030 6673400400040 10010100600060 20020201200120