Search a number
-
+
322330013031213 = 32113746386908649
BaseRepresentation
bin100100101001010000100110…
…1111011010101101100101101
31120021021110002210222221001200
41021102201031323111230231
5314222023331313444323
63101312210324000113
7124615401130504215
oct11122411573255455
91507243083887050
10322330013031213
1193782433259170
1230199871230039
1310ab1788a57085
145984bda723245
15273e823bd1443
hex125284ded5b2d

322330013031213 has 24 divisors (see below), whose sum is σ = 507927523521600. Its totient is φ = 195346306282560.

The previous prime is 322330013031179. The next prime is 322330013031277. The reversal of 322330013031213 is 312130310033223.

322330013031213 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 300 + 1 + 30 + 312 + 13 = 666.

It is not a de Polignac number, because 322330013031213 - 210 = 322330013030189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322330013030213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39745488 + ... + 47163161.

It is an arithmetic number, because the mean of its divisors is an integer number (21163646813400).

Almost surely, 2322330013031213 is an apocalyptic number.

322330013031213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

322330013031213 is a deficient number, since it is larger than the sum of its proper divisors (185597510490387).

322330013031213 is a wasteful number, since it uses less digits than its factorization.

322330013031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86946129 (or 86946126 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 322330013031213 its reverse (312130310033223), we get a palindrome (634460323064436).

The spelling of 322330013031213 in words is "three hundred twenty-two trillion, three hundred thirty billion, thirteen million, thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 37463 112389 337167 412093 1236279 3708837 86908649 260725947 782177841 955995139 2867985417 8603956251 3255858717487 9767576152461 29302728457383 35814445892357 107443337677071 322330013031213