Search a number
-
+
2032220322321 = 37255775133049
BaseRepresentation
bin11101100100101001110…
…001010011101000010001
321012021111221001210222020
4131210221301103220101
5231243441400303241
64153331130202053
7266552212503600
oct35445161235021
97167457053866
102032220322321
11713950434942
12289a36583329
13119839924b57
1470507b45a37
1537ce19d9b66
hex1d929c53a11

2032220322321 has 48 divisors (see below), whose sum is σ = 3161974406400. Its totient is φ = 1157605344000.

The previous prime is 2032220322233. The next prime is 2032220322343. The reversal of 2032220322321 is 1232230222302.

It is not a de Polignac number, because 2032220322321 - 27 = 2032220322193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2032220322291 and 2032220322300.

It is not an unprimeable number, because it can be changed into a prime (2032220322421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61474605 + ... + 61507653.

It is an arithmetic number, because the mean of its divisors is an integer number (65874466800).

Almost surely, 22032220322321 is an apocalyptic number.

2032220322321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2032220322321 is a deficient number, since it is larger than the sum of its proper divisors (1129754084079).

2032220322321 is a wasteful number, since it uses less digits than its factorization.

2032220322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34374 (or 34367 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2032220322321 its reverse (1232230222302), we get a palindrome (3264450544623).

The spelling of 2032220322321 in words is "two trillion, thirty-two billion, two hundred twenty million, three hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 21 49 147 557 751 1671 2253 3899 5257 11697 15771 27293 33049 36799 81879 99147 110397 231343 418307 694029 1254921 1619401 2928149 4858203 8784447 18408293 20497043 24819799 55224879 61491129 74459397 128858051 173738593 386574153 521215779 902006357 1216170151 2706019071 3648510453 13824628043 41473884129 96772396301 290317188903 677406774107 2032220322321