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20330001002000 = 245310165000501
BaseRepresentation
bin1001001111101011100100…
…11111001110111000010000
32122222112021201120100021002
410213311302133032320100
510131041320224031000
6111123250140521132
74165536243165344
oct447656237167020
978875251510232
1020330001002000
1165289a5622168
1223441102501a8
13b46159768821
14503d979c9624
15253c6b2ba8d5
hex127d727cee10

20330001002000 has 40 divisors (see below), whose sum is σ = 49157942427672. Its totient is φ = 8132000400000.

The previous prime is 20330001001997. The next prime is 20330001002029. The reversal of 20330001002000 is 20010003302.

It can be written as a sum of positive squares in 4 ways, for example, as 3336379883776 + 16993621118224 = 1826576^2 + 4122332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5082498251 + ... + 5082502250.

Almost surely, 220330001002000 is an apocalyptic number.

20330001002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330001002000 is an abundant number, since it is smaller than the sum of its proper divisors (28827941425672).

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

20330001002000 is a wasteful number, since it uses less digits than its factorization.

20330001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10165000524 (or 10165000508 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 20330001002000 its reverse (20010003302), we get a palindrome (20350011005302).

The spelling of 20330001002000 in words is "twenty trillion, three hundred thirty billion, one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10165000501 20330001002 40660002004 50825002505 81320004008 101650005010 162640008016 203300010020 254125012525 406600020040 508250025050 813200040080 1016500050100 1270625062625 2033000100200 2541250125250 4066000200400 5082500250500 10165000501000 20330001002000