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20020111010101 = 82152334659857
BaseRepresentation
bin1001000110101010010111…
…00110101110100100110101
32121212220101221212200010201
410203111023212232210311
510111002141404310401
6110325040110520501
74134256004545246
oct443251346564465
977786357780121
1020020111010101
116419532818644
1222b4046806131
13b22b71988707
144d2d9b19cccd
1524ab8072db01
hex12354b9ae935

20020111010101 has 8 divisors (see below), whose sum is σ = 20048330746584. Its totient is φ = 19991900605440.

The previous prime is 20020111010071. The next prime is 20020111010143. The reversal of 20020111010101 is 10101011102002.

It can be written as a sum of positive squares in 4 ways, for example, as 8479313029476 + 11540797980625 = 2911926^2 + 3397175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20020111010101 - 29 = 20020111009589 is a prime.

It is a super-3 number, since 3×200201110101013 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020111011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966365 + ... + 6626221.

It is an arithmetic number, because the mean of its divisors is an integer number (2506041343323).

Almost surely, 220020111010101 is an apocalyptic number.

It is an amenable number.

20020111010101 is a deficient number, since it is larger than the sum of its proper divisors (28219736483).

20020111010101 is an equidigital number, since it uses as much as digits as its factorization.

20020111010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665911.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20020111010101 its reverse (10101011102002), we get a palindrome (30121122112103).

The spelling of 20020111010101 in words is "twenty trillion, twenty billion, one hundred eleven million, ten thousand, one hundred one".

Divisors: 1 821 5233 4296293 4659857 3825742597 24385031681 20020111010101