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2012211220019 = 711132518008769
BaseRepresentation
bin11101010010000001001…
…000101000111000110011
321010100212110102002201012
4131102001020220320303
5230432002033020034
64140221433501135
7265243320106430
oct35220110507063
97110773362635
102012211220019
11706412859160
12285b915717ab
1311799b3b1150
146d56a570b87
1537520071cce
hex1d481228e33

2012211220019 has 32 divisors (see below), whose sum is σ = 2712474293760. Its totient is φ = 1441578240000.

The previous prime is 2012211220013. The next prime is 2012211220069. The reversal of 2012211220019 is 9100221122102.

It is a cyclic number.

It is not a de Polignac number, because 2012211220019 - 24 = 2012211220003 is a prime.

It is a super-3 number, since 3×20122112200193 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2012211219976 and 2012211220003.

It is not an unprimeable number, because it can be changed into a prime (2012211220013) 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 31 ways as a sum of consecutive naturals, for example, 3753134 + ... + 4255635.

It is an arithmetic number, because the mean of its divisors is an integer number (84764821680).

Almost surely, 22012211220019 is an apocalyptic number.

2012211220019 is a deficient number, since it is larger than the sum of its proper divisors (700263073741).

2012211220019 is a wasteful number, since it uses less digits than its factorization.

2012211220019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009051.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 2012211220019 in words is "two trillion, twelve billion, two hundred eleven million, two hundred twenty thousand, nineteen".

Divisors: 1 7 11 13 77 91 143 251 1001 1757 2761 3263 19327 22841 35893 251251 8008769 56061383 88096459 104113997 616675213 728797979 1145253967 2010201019 8016777769 14071407133 22112211209 26132613247 154785478463 182928292729 287458745717 2012211220019