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1020201009999 = 31014632772679
BaseRepresentation
bin11101101100010001011…
…10000000001101001111
310121112022120012001121120
432312020232000031033
5113203332424304444
62100401320132023
7133464350334633
oct16661056001517
93545276161546
101020201009999
11363734967786
1214587b307013
13752874c23b2
14375412d4dc3
151b80ee8ab19
hexed88b8034f

1020201009999 has 16 divisors (see below), whose sum is σ = 1373784568320. Its totient is φ = 673376205600.

The previous prime is 1020201009917. The next prime is 1020201010007. The reversal of 1020201009999 is 9999001020201.

It is not a de Polignac number, because 1020201009999 - 27 = 1020201009871 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020201009999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020201009199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14000742 + ... + 14073420.

It is an arithmetic number, because the mean of its divisors is an integer number (85861535520).

Almost surely, 21020201009999 is an apocalyptic number.

1020201009999 is a deficient number, since it is larger than the sum of its proper divisors (353583558321).

1020201009999 is a wasteful number, since it uses less digits than its factorization.

1020201009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119110.

The product of its (nonzero) digits is 26244, while the sum is 42.

The spelling of 1020201009999 in words is "one trillion, twenty billion, two hundred one million, nine thousand, nine hundred ninety-nine".

Divisors: 1 3 101 303 46327 72679 138981 218037 4679027 7340579 14037081 22021737 3367000033 10101000099 340067003333 1020201009999