Search a number
-
+
23364214405101 = 34288447091421
BaseRepresentation
bin1010100111111111001111…
…01100110011011111101101
310001201121010021101120120000
411103333213230303133231
511030244402341430401
6121405212200214513
74631003004444363
oct523774754633755
9101647107346500
1023364214405101
117498786a22a99
12275418416a439
13100630b55003b
145aab96751633
152a7b544b4186
hex153fe7b337ed

23364214405101 has 10 divisors (see below), whose sum is σ = 34902098062062. Its totient is φ = 15576142936680.

The previous prime is 23364214405087. The next prime is 23364214405187. The reversal of 23364214405101 is 10150441246332.

23364214405101 is a `hidden beast` number, since 2 + 3 + 3 + 642 + 1 + 4 + 4 + 0 + 5 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21025654719876 + 2338559685225 = 4585374^2 + 1529235^2 .

It is not a de Polignac number, because 23364214405101 - 29 = 23364214404589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23364214405001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 144223545630 + ... + 144223545791.

Almost surely, 223364214405101 is an apocalyptic number.

It is an amenable number.

23364214405101 is a deficient number, since it is larger than the sum of its proper divisors (11537883656961).

23364214405101 is an equidigital number, since it uses as much as digits as its factorization.

23364214405101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288447091433 (or 288447091424 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23364214405101 in words is "twenty-three trillion, three hundred sixty-four billion, two hundred fourteen million, four hundred five thousand, one hundred one".

Divisors: 1 3 9 27 81 288447091421 865341274263 2596023822789 7788071468367 23364214405101