Search a number
-
+
2001033703001 = 37973895932417
BaseRepresentation
bin11101000111100110111…
…001110010111001011001
321002022000110221101220102
4131013212321302321121
5230241104111444001
64131132344505145
7264366323556314
oct35074671627131
97068013841812
102001033703001
117016a73a4193
1228399217b1b5
13116909771b58
146cbc9c9197b
15370b8b19e6b
hex1d1e6e72e59

2001033703001 has 32 divisors (see below), whose sum is σ = 2086013049120. Its totient is φ = 1917891772416.

The previous prime is 2001033702991. The next prime is 2001033703007. The reversal of 2001033703001 is 1003073301002.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3122127376 + 1997911575625 = 55876^2 + 1413475^2 .

It is not a de Polignac number, because 2001033703001 - 210 = 2001033701977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001033703007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827898545 + ... + 827900961.

It is an arithmetic number, because the mean of its divisors is an integer number (65187907785).

Almost surely, 22001033703001 is an apocalyptic number.

It is an amenable number.

2001033703001 is a deficient number, since it is larger than the sum of its proper divisors (84979346119).

2001033703001 is a wasteful number, since it uses less digits than its factorization.

2001033703001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533.

The product of its (nonzero) digits is 378, while the sum is 20.

The spelling of 2001033703001 in words is "two trillion, one billion, thirty-three million, seven hundred three thousand, one".

Divisors: 1 37 97 389 593 2417 3589 14393 21941 37733 57521 89429 230677 234449 940213 1396121 1433281 2128277 8535049 8674613 22375669 34787881 53031397 91200661 139028257 557546309 827899753 3374424457 5144045509 20629213433 54081991973 2001033703001