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20212220021000 = 235373977273199
BaseRepresentation
bin1001001100010000001100…
…01100011100100100001000
32122120021021100212120120112
410212020012030130210020
510122124111311133000
6110553210553413452
74154166440314160
oct446100614344410
978507240776515
1020212220021000
116492a552a7947
12232531b70a288
13b38009211867
144dc3c32715a0
15250b7603c235
hex12620631c908

20212220021000 has 128 divisors (see below), whose sum is σ = 54189412992000. Its totient is φ = 6912447379200.

The previous prime is 20212220020991. The next prime is 20212220021009. The reversal of 20212220021000 is 12002221202.

It is an interprime number because it is at equal distance from previous prime (20212220020991) and next prime (20212220021009).

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

It is not an unprimeable number, because it can be changed into a prime (20212220021009) 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, 857600 + ... + 6415599.

It is an arithmetic number, because the mean of its divisors is an integer number (423354789000).

Almost surely, 220212220021000 is an apocalyptic number.

20212220021000 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 20212220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27094706496000).

20212220021000 is an abundant number, since it is smaller than the sum of its proper divisors (33977192971000).

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

20212220021000 is a wasteful number, since it uses less digits than its factorization.

20212220021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273624 (or 7273610 counting only the distinct ones).

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

Adding to 20212220021000 its reverse (12002221202), we get a palindrome (20224222242202).

The spelling of 20212220021000 in words is "twenty trillion, two hundred twelve billion, two hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 397 500 700 794 875 1000 1400 1588 1750 1985 2779 3176 3500 3970 5558 7000 7940 9925 11116 13895 15880 19850 22232 27790 39700 49625 55580 69475 79400 99250 111160 138950 198500 277900 347375 397000 555800 694750 1389500 2779000 7273199 14546398 29092796 36365995 50912393 58185592 72731990 101824786 145463980 181829975 203649572 254561965 290927960 363659950 407299144 509123930 727319900 909149875 1018247860 1272809825 1454639800 1818299750 2036495720 2545619650 2887460003 3636599500 5091239300 5774920006 6364049125 7273199000 10182478600 11549840012 12728098250 14437300015 20212220021 23099680024 25456196500 28874600030 40424440042 50912393000 57749200060 72186500075 80848880084 101061100105 115498400120 144373000150 161697760168 202122200210 288746000300 360932500375 404244400420 505305500525 577492000600 721865000750 808488800840 1010611001050 1443730001500 2021222002100 2526527502625 2887460003000 4042444004200 5053055005250 10106110010500 20212220021000