Search a number
-
+
23303332122320 = 245291291651529
BaseRepresentation
bin1010100110001101110101…
…10101010100111011010000
310001111202222021122011100202
411103012322311110323100
511023300211010403240
6121321223013434332
74623416202541565
oct523067265247320
9101452867564322
1023303332122320
117474984514908
12274441293b9a8
131000658090843
145a7c5ca3486c
152a628e584315
hex1531bad54ed0

23303332122320 has 20 divisors (see below), whose sum is σ = 54180247184580. Its totient is φ = 9321332848896.

The previous prime is 23303332122307. The next prime is 23303332122359. The reversal of 23303332122320 is 2322123330332.

It can be written as a sum of positive squares in 2 ways, for example, as 4117425372736 + 19185906749584 = 2029144^2 + 4380172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×233033321223203 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 145645825685 + ... + 145645825844.

It is an arithmetic number, because the mean of its divisors is an integer number (2709012359229).

Almost surely, 223303332122320 is an apocalyptic number.

23303332122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23303332122320 is an abundant number, since it is smaller than the sum of its proper divisors (30876915062260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23303332122320 is a wasteful number, since it uses less digits than its factorization.

23303332122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291291651542 (or 291291651536 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 23303332122320 its reverse (2322123330332), we get a palindrome (25625455452652).

The spelling of 23303332122320 in words is "twenty-three trillion, three hundred three billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 291291651529 582583303058 1165166606116 1456458257645 2330333212232 2912916515290 4660666424464 5825833030580 11651666061160 23303332122320