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20021212021000 = 235346143429961
BaseRepresentation
bin1001000110101100011010…
…01110110000000100001000
32121220000020200121211011011
410203112031032300010020
510111011420234133000
6110325341241213304
74134325204151461
oct443261516600410
977800220554134
1020021212021000
116419a48263403
1222b42b3491234
13b22cb8b01558
144d30634c1d68
1524abe72142ba
hex12358d3b0108

20021212021000 has 64 divisors (see below), whose sum is σ = 46951263318960. Its totient is φ = 7991112640000.

The previous prime is 20021212020923. The next prime is 20021212021001. The reversal of 20021212021000 is 12021212002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8076964 + 20021203944036 = 2842^2 + 4474506^2 .

It is not an unprimeable number, because it can be changed into a prime (20021212021001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21253981 + ... + 22175980.

Almost surely, 220021212021000 is an apocalyptic number.

20021212021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021212021000 is an abundant number, since it is smaller than the sum of its proper divisors (26930051297960).

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

20021212021000 is a wasteful number, since it uses less digits than its factorization.

20021212021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43430443 (or 43430429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20021212021000 its reverse (12021212002), we get a palindrome (20033233233002).

The spelling of 20021212021000 in words is "twenty trillion, twenty-one billion, two hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 461 500 922 1000 1844 2305 3688 4610 9220 11525 18440 23050 46100 57625 92200 115250 230500 461000 43429961 86859922 173719844 217149805 347439688 434299610 868599220 1085749025 1737198440 2171498050 4342996100 5428745125 8685992200 10857490250 20021212021 21714980500 40042424042 43429961000 80084848084 100106060105 160169696168 200212120210 400424240420 500530300525 800848480840 1001060601050 2002121202100 2502651502625 4004242404200 5005303005250 10010606010500 20021212021000