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20020001001 = 3721113952381
BaseRepresentation
bin10010101001010010…
…001111100011101001
31220200020011102110120
4102221102033203221
5312000110013001
613110322033453
71306054125600
oct225122174351
956606142416
1020020001001
118543850080
123a687a8889
131b7088b650
14d7cc10a37
157c28bc236
hex4a948f8e9

20020001001 has 48 divisors (see below), whose sum is σ = 36480040128. Its totient is φ = 9599990400.

The previous prime is 20020000993. The next prime is 20020001039. The reversal of 20020001001 is 10010002002.

It is a happy number.

It is not a de Polignac number, because 20020001001 - 23 = 20020000993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20020001081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 455170 + ... + 497211.

It is an arithmetic number, because the mean of its divisors is an integer number (760000836).

Almost surely, 220020001001 is an apocalyptic number.

20020001001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20020001001 is a deficient number, since it is larger than the sum of its proper divisors (16460039127).

20020001001 is a wasteful number, since it uses less digits than its factorization.

20020001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952422 (or 952415 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20020001001 its reverse (10010002002), we get a palindrome (30030003003).

It can be divided in two parts, 2002000 and 1001, that added together give a triangular number (2003001 = T2001).

The spelling of 20020001001 in words is "twenty billion, twenty million, one thousand, one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 952381 2857143 6666667 10476191 12380953 20000001 31428573 37142859 46666669 73333337 86666671 136190483 140000007 220000011 260000013 408571449 513333359 606666697 953333381 1540000077 1820000091 2860000143 6673333667 20020001001