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2000210010001 = 72177693122513
BaseRepresentation
bin11101000110110101110…
…011101001111110010001
321002012220002000110112021
4131012311303221332101
5230232412230310001
64130514522131441
7264340032363100
oct35066563517621
97065802013467
102000210010001
11701314450475
122837a2350b81
13116807c14948
146cb4c71a037
153706b662ba1
hex1d1b5ce9f91

2000210010001 has 24 divisors (see below), whose sum is σ = 2466848510280. Its totient is φ = 1611515953152.

The previous prime is 2000210009999. The next prime is 2000210010067. The reversal of 2000210010001 is 1000100120002.

It can be written as a sum of positive squares in 4 ways, for example, as 17960020225 + 1982249989776 = 134015^2 + 1407924^2 .

It is not a de Polignac number, because 2000210010001 - 21 = 2000210009999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (2000210040001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920680 + ... + 2201833.

It is an arithmetic number, because the mean of its divisors is an integer number (102785354595).

Almost surely, 22000210010001 is an apocalyptic number.

It is an amenable number.

2000210010001 is a deficient number, since it is larger than the sum of its proper divisors (466638500279).

2000210010001 is a wasteful number, since it uses less digits than its factorization.

2000210010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123313 (or 3123306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2000210010001 its reverse (1000100120002), we get a palindrome (3000310130003).

The spelling of 2000210010001 in words is "two trillion, two hundred ten million, ten thousand, one".

Divisors: 1 7 17 49 119 769 833 5383 13073 37681 91511 640577 3122513 21857591 53082721 153003137 371579047 2401212497 2601053329 16808487479 40820612449 117659412353 285744287143 2000210010001