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20011000212001 = 2923118117332447
BaseRepresentation
bin1001000110011001011001…
…00011110010101000100001
32121212000220000022011201001
410203030230203302220201
510110330012023241001
6110320532050512001
74133514145206541
oct443145443625041
977760800264631
1020011000212001
116415687a30137
1222b2323595601
13b2204c283a16
144d2775185321
1524a7ea968001
hex12332c8f2a21

20011000212001 has 48 divisors (see below), whose sum is σ = 21532776265728. Its totient is φ = 18576082425600.

The previous prime is 20011000211999. The next prime is 20011000212029. The reversal of 20011000212001 is 10021200011002.

It is not a de Polignac number, because 20011000212001 - 21 = 20011000211999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20011000212041) 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 47 ways as a sum of consecutive naturals, for example, 8177767560 + ... + 8177770006.

It is an arithmetic number, because the mean of its divisors is an integer number (448599505536).

Almost surely, 220011000212001 is an apocalyptic number.

It is an amenable number.

20011000212001 is a deficient number, since it is larger than the sum of its proper divisors (1521776053727).

20011000212001 is a wasteful number, since it uses less digits than its factorization.

20011000212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20011000212001 its reverse (10021200011002), we get a palindrome (30032200223003).

The spelling of 20011000212001 in words is "twenty trillion, eleven billion, two hundred twelve thousand, one".

Divisors: 1 29 31 181 841 899 1733 2447 5249 5611 26071 50257 53723 70963 75857 152221 162719 313673 442907 1457453 1557967 2057927 2199853 4240651 4718851 9096517 9723863 12844303 13730117 45181043 63795737 122978879 131460181 263798993 281992027 372484787 398173393 767557831 3566387491 3812345249 8177768783 11547028397 22259177099 23794292761 110558012221 645516135871 690034490069 20011000212001