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2001112021012 = 22133738315671733
BaseRepresentation
bin11101000111101011100…
…100100011100000010100
321002022012221022101000111
4131013223210203200110
5230241234134133022
64131144223252404
7264401264345566
oct35075344434024
97068187271014
102001112021012
11701737626715
122839b444a104
1311691ca63780
146cbd643b336
15370c093a477
hex1d1eb923814

2001112021012 has 96 divisors (see below), whose sum is σ = 3888087662592. Its totient is φ = 895193150976.

The previous prime is 2001112021003. The next prime is 2001112021021. The reversal of 2001112021012 is 2101202111002.

It is an interprime number because it is at equal distance from previous prime (2001112021003) and next prime (2001112021021).

It is a super-2 number, since 2×20011120210122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2001112020983 and 2001112021001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1154708898 + ... + 1154710630.

It is an arithmetic number, because the mean of its divisors is an integer number (40500913152).

Almost surely, 22001112021012 is an apocalyptic number.

It is an amenable number.

2001112021012 is a deficient number, since it is larger than the sum of its proper divisors (1886975641580).

2001112021012 is a wasteful number, since it uses less digits than its factorization.

2001112021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001112021012 its reverse (2101202111002), we get a palindrome (4102314132014).

The spelling of 2001112021012 in words is "two trillion, one billion, one hundred twelve million, twenty-one thousand, twelve".

Divisors: 1 2 4 13 26 37 52 74 148 383 481 766 962 1532 1567 1733 1924 3134 3466 4979 6268 6932 9958 14171 19916 20371 22529 28342 40742 45058 56684 57979 64121 81484 90116 115958 128242 184223 231916 256484 368446 600161 663739 736892 753727 833573 1200322 1327478 1507454 1667146 2400644 2654956 2715611 3014908 3334292 5431222 7802093 8628607 10862444 15604186 17257214 22205957 24558343 31208372 34514428 35302943 44411914 49116686 70605886 88823828 98233372 100477607 141211772 200955214 288677441 319258459 401910428 577354882 638516918 1040079013 1154709764 1277033836 1306208891 2080158026 2612417782 4160316052 5224835564 13521027169 27042054338 38482923481 54084108676 76965846962 153931693924 500278005253 1000556010506 2001112021012