Search a number
-
+
3001300132331 = 313311951149921
BaseRepresentation
bin101011101011001011011…
…011011010000111101011
3101121220212202200211201102
4223223023123122013223
5343133130313213311
610214440033512015
7426560005125254
oct53531333320753
911556782624642
103001300132331
11a57931754406
1240580941260b
1318a037cb3187
14a539984db2b
155310d95d43b
hex2bacb6da1eb

3001300132331 has 16 divisors (see below), whose sum is σ = 3109089632256. Its totient is φ = 2894205600000.

The previous prime is 3001300132301. The next prime is 3001300132351. The reversal of 3001300132331 is 1332310031003.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3001300132331 is a prime.

It is a super-2 number, since 2×30013001323312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001300132301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19944251 + ... + 20094171.

It is an arithmetic number, because the mean of its divisors is an integer number (194318102016).

Almost surely, 23001300132331 is an apocalyptic number.

3001300132331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3001300132331 is a deficient number, since it is larger than the sum of its proper divisors (107789499925).

3001300132331 is a wasteful number, since it uses less digits than its factorization.

3001300132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152234.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3001300132331 its reverse (1332310031003), we get a palindrome (4333610163334).

The spelling of 3001300132331 in words is "three trillion, one billion, three hundred million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 31 331 1951 10261 60481 149921 645781 4647551 20019211 49623851 292495871 1538339381 9067372001 96816133301 3001300132331