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2010011210000 = 2454373538877
BaseRepresentation
bin11101001111111110000…
…000010001000100010000
321010011012010201000022122
4131033332000101010100
5230413000332210000
64135215243553412
7265134644246153
oct35177600210420
97104163630278
102010011210000
11705493a22062
1228567882b868
1311770a678081
146d3dc2cdc9a
1537441d52085
hex1d3fe011110

2010011210000 has 100 divisors (see below), whose sum is σ = 4879493946492. Its totient is φ = 801847488000.

The previous prime is 2010011209981. The next prime is 2010011210047. The reversal of 2010011210000 is 121100102.

It can be written as a sum of positive squares in 10 ways, for example, as 774463361296 + 1235547848704 = 880036^2 + 1111552^2 .

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2010011210000.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3460562 + ... + 3999438.

Almost surely, 22010011210000 is an apocalyptic number.

2010011210000 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 2010011210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439746973246).

2010011210000 is an abundant number, since it is smaller than the sum of its proper divisors (2869482736492).

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

2010011210000 is an equidigital number, since it uses as much as digits as its factorization.

2010011210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539278 (or 539257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2010011210000 its reverse (121100102), we get a palindrome (2010132310102).

The spelling of 2010011210000 in words is "two trillion, ten billion, eleven million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 373 400 500 625 746 1000 1250 1492 1865 2000 2500 2984 3730 5000 5968 7460 9325 10000 14920 18650 29840 37300 46625 74600 93250 149200 186500 233125 373000 466250 538877 746000 932500 1077754 1865000 2155508 2694385 3730000 4311016 5388770 8622032 10777540 13471925 21555080 26943850 43110160 53887700 67359625 107775400 134719250 201001121 215550800 269438500 336798125 402002242 538877000 673596250 804004484 1005005605 1077754000 1347192500 1608008968 2010011210 2694385000 3216017936 4020022420 5025028025 5388770000 8040044840 10050056050 16080089680 20100112100 25125140125 40200224200 50250280250 80400448400 100500560500 125625700625 201001121000 251251401250 402002242000 502502802500 1005005605000 2010011210000