Search a number
-
+
3001221330321 = 323131465171389
BaseRepresentation
bin101011101011000110101…
…110110011010110010001
3101121220200021102021200110
4223223012232303112101
5343133000130032241
610214424140511533
7426555030251634
oct53530656632621
911556607367613
103001221330321
11a578a1221285
124057a6b4b5a9
1318a024882176
14a538d1b9c1b
1553106a94816
hex2bac6bb3591

3001221330321 has 32 divisors (see below), whose sum is σ = 4208450780160. Its totient is φ = 1898778024000.

The previous prime is 3001221330311. The next prime is 3001221330397. The reversal of 3001221330321 is 1230331221003.

It is not a de Polignac number, because 3001221330321 - 225 = 3001187775889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3001221330311) 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, 42004695 + ... + 42076083.

It is an arithmetic number, because the mean of its divisors is an integer number (131514086880).

Almost surely, 23001221330321 is an apocalyptic number.

It is an amenable number.

3001221330321 is a deficient number, since it is larger than the sum of its proper divisors (1207229449839).

3001221330321 is a wasteful number, since it uses less digits than its factorization.

3001221330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76197.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3001221330321 its reverse (1230331221003), we get a palindrome (4231552551324).

The spelling of 3001221330321 in words is "three trillion, one billion, two hundred twenty-one million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 23 69 131 393 3013 4651 9039 13953 71389 106973 214167 320919 609281 1641947 1827843 4925841 9351959 14013463 28055877 42040389 215095057 332030239 645285171 996090717 7636695497 22910086491 43495961309 130487883927 1000407110107 3001221330321