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3001303020001 = 1113220330373137
BaseRepresentation
bin101011101011001011100…
…110011011000111100001
3101121220212222010112212011
4223223023212123013201
5343133132033120001
610214440215432521
7426560041513156
oct53531346330741
911556788115764
103001303020001
11a57933346a10
1240580a385741
1318a038784660
14a5399da222d
155310dd2dd51
hex2bacb99b1e1

3001303020001 has 32 divisors (see below), whose sum is σ = 3529893322368. Its totient is φ = 2515801559040.

The previous prime is 3001303019983. The next prime is 3001303020031. The reversal of 3001303020001 is 1000203031003.

It is not a de Polignac number, because 3001303020001 - 27 = 3001303019873 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001303020031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956741505 + ... + 956744641.

It is an arithmetic number, because the mean of its divisors is an integer number (110309166324).

Almost surely, 23001303020001 is an apocalyptic number.

It is an amenable number.

3001303020001 is a deficient number, since it is larger than the sum of its proper divisors (528590302367).

3001303020001 is a wasteful number, since it uses less digits than its factorization.

3001303020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8401.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 3001303020001 its reverse (1000203031003), we get a palindrome (4001506051004).

The spelling of 3001303020001 in words is "three trillion, one billion, three hundred three million, twenty thousand, one".

Divisors: 1 11 13 143 2203 3037 3137 24233 28639 33407 34507 39481 40781 315029 434291 448591 6690511 6910811 9527069 73595621 76018921 86976643 89840543 104797759 123851897 956743073 988245973 1362370867 20988133007 230869463077 272845729091 3001303020001