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212000332030000 = 245496721923509
BaseRepresentation
bin110000001101000000101100…
…011110111010000000110000
31000210122000220122111000220021
4300031000230132322000300
5210241403134444430000
62030515335200053224
762440342600461523
oct6015005436720060
91023560818430807
10212000332030000
1161605921659208
121b93b102304214
13913a7126b2507
143a4cc29752bba
1519799361e911a
hexc0d02c7ba030

212000332030000 has 100 divisors (see below), whose sum is σ = 513804817390480. Its totient is φ = 84712434912000.

The previous prime is 212000332029971. The next prime is 212000332030009. The reversal of 212000332030000 is 30233000212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212000332030009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1291755 + ... + 20631754.

Almost surely, 2212000332030000 is an apocalyptic number.

212000332030000 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 212000332030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256902408695240).

212000332030000 is an abundant number, since it is smaller than the sum of its proper divisors (301804485360480).

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

212000332030000 is an equidigital number, since it uses as much as digits as its factorization.

212000332030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21924504 (or 21924483 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 212000332030000 its reverse (30233000212), we get a palindrome (212030565030212).

The spelling of 212000332030000 in words is "two hundred twelve trillion, three hundred thirty-two million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 967 1000 1250 1934 2000 2500 3868 4835 5000 7736 9670 10000 15472 19340 24175 38680 48350 77360 96700 120875 193400 241750 386800 483500 604375 967000 1208750 1934000 2417500 4835000 9670000 21923509 43847018 87694036 109617545 175388072 219235090 350776144 438470180 548087725 876940360 1096175450 1753880720 2192350900 2740438625 4384701800 5480877250 8769403600 10961754500 13702193125 21200033203 21923509000 27404386250 42400066406 43847018000 54808772500 84800132812 106000166015 109617545000 169600265624 212000332030 219235090000 339200531248 424000664060 530000830075 848001328120 1060001660150 1696002656240 2120003320300 2650004150375 4240006640600 5300008300750 8480013281200 10600016601500 13250020751875 21200033203000 26500041503750 42400066406000 53000083007500 106000166015000 212000332030000