Search a number
-
+
330322136001 = 311131940525351
BaseRepresentation
bin1001100111010001011…
…10111100101111000001
31011120121201101010122020
410303220232330233001
520402444431323001
6411425313432053
732602455554244
oct4635056745701
91146551333566
10330322136001
111180a8263930
125402826b629
13251c2b72210
1411db828325b
1588d471a736
hex4ce8bbcbc1

330322136001 has 32 divisors (see below), whose sum is σ = 544660730880. Its totient is φ = 175069512000.

The previous prime is 330322135973. The next prime is 330322136009. The reversal of 330322136001 is 100631223033.

It is a happy number.

It is not a de Polignac number, because 330322136001 - 26 = 330322135937 is a prime.

It is a super-2 number, since 2×3303221360012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330322136009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20254525 + ... + 20270826.

It is an arithmetic number, because the mean of its divisors is an integer number (17020647840).

Almost surely, 2330322136001 is an apocalyptic number.

It is an amenable number.

330322136001 is a deficient number, since it is larger than the sum of its proper divisors (214338594879).

330322136001 is a wasteful number, since it uses less digits than its factorization.

330322136001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40525397.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 330322136001 its reverse (100631223033), we get a palindrome (430953359034).

The spelling of 330322136001 in words is "three hundred thirty billion, three hundred twenty-two million, one hundred thirty-six thousand, one".

Divisors: 1 3 11 13 19 33 39 57 143 209 247 429 627 741 2717 8151 40525351 121576053 445778861 526829563 769981669 1337336583 1580488689 2309945007 5795125193 8469798359 10009761697 17385375579 25409395077 30029285091 110107378667 330322136001