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2000211012 = 2232163733941
BaseRepresentation
bin111011100111000…
…1100110001000100
312011101202020200100
41313032030301010
513044023223022
6530251244100
7100365340662
oct16716146104
95141666610
102000211012
11937081158
12479a49630
1325b51c417
1414d911c32
15ba9051ac
hex7738cc44

2000211012 has 36 divisors (see below), whose sum is σ = 5059326636. Its totient is φ = 666310080.

The previous prime is 2000211001. The next prime is 2000211013. The reversal of 2000211012 is 2101120002.

It can be written as a sum of positive squares in 2 ways, for example, as 422055936 + 1578155076 = 20544^2 + 39726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000210985 and 2000211003.

It is not an unprimeable number, because it can be changed into a prime (2000211013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41962 + ... + 75902.

It is an arithmetic number, because the mean of its divisors is an integer number (140536851).

Almost surely, 22000211012 is an apocalyptic number.

It is an amenable number.

2000211012 is an abundant number, since it is smaller than the sum of its proper divisors (3059115624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000211012 is a wasteful number, since it uses less digits than its factorization.

2000211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35588 (or 35583 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2000211012 is about 44723.7186736524. The cubic root of 2000211012 is about 1259.9653580801.

Adding to 2000211012 its reverse (2101120002), we get a palindrome (4101331014).

The spelling of 2000211012 in words is "two billion, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1637 3274 4911 6548 9822 14733 19644 29466 33941 58932 67882 101823 135764 203646 305469 407292 610938 1221876 55561417 111122834 166684251 222245668 333368502 500052753 666737004 1000105506 2000211012