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20021202020120 = 23576011034311503
BaseRepresentation
bin1001000110101100011001…
…01000100110011100011000
32121220000012222210201112012
410203112030220212130120
510111011410204120440
6110325340243005052
74134325023146420
oct443261450463430
977800188721465
1020021202020120
116419a42652614
1222b42b0069788
13b22cb6a0c482
144d306203b480
1524abe63dae65
hex12358ca26718

20021202020120 has 128 divisors (see below), whose sum is σ = 51578222653440. Its totient is φ = 6851732198400.

The previous prime is 20021202020069. The next prime is 20021202020177. The reversal of 20021202020120 is 2102020212002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20021202020095 and 20021202020104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1740514289 + ... + 1740525791.

It is an arithmetic number, because the mean of its divisors is an integer number (402954864480).

Almost surely, 220021202020120 is an apocalyptic number.

20021202020120 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 20021202020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25789111326720).

20021202020120 is an abundant number, since it is smaller than the sum of its proper divisors (31557020633320).

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

20021202020120 is a wasteful number, since it uses less digits than its factorization.

20021202020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22465 (or 22461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20021202020120 its reverse (2102020212002), we get a palindrome (22123222232122).

The spelling of 20021202020120 in words is "twenty trillion, twenty-one billion, two hundred two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 601 1202 2404 3005 4207 4808 6010 8414 10343 11503 12020 16828 20686 21035 23006 24040 33656 41372 42070 46012 51715 57515 72401 80521 82744 84140 92024 103430 115030 144802 161042 168280 206860 230060 289604 322084 362005 402605 413720 460120 579208 644168 724010 805210 1448020 1610420 2896040 3220840 6216143 6913303 12432286 13826606 24864572 27653212 31080715 34566515 43513001 48393121 49729144 55306424 62161430 69133030 87026002 96786242 118975529 124322860 138266060 174052004 193572484 217565005 237951058 241965605 248645720 276532120 348104008 387144968 435130010 475902116 483931210 594877645 832828703 870260020 951804232 967862420 1189755290 1665657406 1740520040 1935724840 2379510580 3331314812 4164143515 4759021160 6662629624 8328287030 16656574060 33313148120 71504292929 143008585858 286017171716 357521464645 500530050503 572034343432 715042929290 1001060101006 1430085858580 2002120202012 2502650252515 2860171717160 4004240404024 5005300505030 10010601010060 20021202020120