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20212222100000 = 2555728874603
BaseRepresentation
bin1001001100010000001100…
…10100011000001000100000
32122120021021111210012102112
410212020012110120020200
510122124112324200000
6110553211110134452
74154166464063330
oct446100624301040
978507244705375
1020212222100000
116492a56497927
122325320351428
13b3800978bc38
144dc3c36530c0
15250b762ed235
hex126206518220

20212222100000 has 144 divisors (see below), whose sum is σ = 56843238424896. Its totient is φ = 6929904480000.

The previous prime is 20212222099973. The next prime is 20212222100029. The reversal of 20212222100000 is 122221202.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13737302 + ... + 15137301.

It is an arithmetic number, because the mean of its divisors is an integer number (394744711284).

Almost surely, 220212222100000 is an apocalyptic number.

20212222100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212222100000 is an abundant number, since it is smaller than the sum of its proper divisors (36631016324896).

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

20212222100000 is an frugal number, since it uses more digits than its factorization.

20212222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28874645 (or 28874617 counting only the distinct ones).

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

Adding to 20212222100000 its reverse (122221202), we get a palindrome (20212344321202).

The spelling of 20212222100000 in words is "twenty trillion, two hundred twelve billion, two hundred twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 140000 175000 350000 700000 28874603 57749206 115498412 144373015 202122221 230996824 288746030 404244442 461993648 577492060 721865075 808488884 923987296 1010611105 1154984120 1443730150 1616977768 2021222210 2309968240 2887460300 3233955536 3609325375 4042444420 4619936480 5053055525 5774920600 6467911072 7218650750 8084888840 10106111050 11549841200 14437301500 16169777680 18046626875 20212222100 23099682400 25265277625 28874603000 32339555360 36093253750 40424444200 50530555250 57749206000 72186507500 80848888400 90233134375 101061110500 115498412000 126326388125 144373015000 161697776800 180466268750 202122221000 252652776250 288746030000 360932537500 404244442000 505305552500 577492060000 631631940625 721865075000 808488884000 1010611105000 1263263881250 1443730150000 2021222210000 2526527762500 2887460300000 4042444420000 5053055525000 10106111050000 20212222100000