Search a number
-
+
23150433530105 = 572182561517589
BaseRepresentation
bin1010100001110001000010…
…10111011111000011111001
310000222011022111221220110222
411100320201113133003321
511013244041440430410
6121123055022145425
74606364216132300
oct520704127370371
9100864274856428
1023150433530105
117416053219502
12271a861422275
13cbc0cc14437b
145a06b6317437
152a22e1292955
hex150e215df0f9

23150433530105 has 24 divisors (see below), whose sum is σ = 32316354828360. Its totient is φ = 15874465367040.

The previous prime is 23150433530099. The next prime is 23150433530149. The reversal of 23150433530105 is 50103533405132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4633015173136 + 18517418356969 = 2152444^2 + 4303187^2 .

It is not a de Polignac number, because 23150433530105 - 216 = 23150433464569 is a prime.

It is a super-3 number, since 3×231504335301053 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 23 ways as a sum of consecutive naturals, for example, 44468651 + ... + 44986239.

It is an arithmetic number, because the mean of its divisors is an integer number (1346514784515).

Almost surely, 223150433530105 is an apocalyptic number.

It is an amenable number.

23150433530105 is a deficient number, since it is larger than the sum of its proper divisors (9165921298255).

23150433530105 is a wasteful number, since it uses less digits than its factorization.

23150433530105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700169 (or 700162 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

Adding to 23150433530105 its reverse (50103533405132), we get a palindrome (73253966935237).

The spelling of 23150433530105 in words is "twenty-three trillion, one hundred fifty billion, four hundred thirty-three million, five hundred thirty thousand, one hundred five".

Divisors: 1 5 7 35 49 245 182561 517589 912805 1277927 2587945 3623123 6389635 8945489 18115615 25361861 44727445 126809305 94491565429 472457827145 661440958003 3307204790015 4630086706021 23150433530105