Search a number
-
+
10142411320233 = 3233111069307583
BaseRepresentation
bin1001001110010111011011…
…0100101110101110101001
31022220121100002020220002100
42103211312310232232221
52312133124244221413
633323205345524013
72064523256525613
oct223456664565651
938817302226070
1010142411320233
1132604108617a5
121179801043609
1358756b46a90a
14270c76ac5db3
15128c626c4a73
hex93976d2eba9

10142411320233 has 24 divisors (see below), whose sum is σ = 14695785262080. Its totient is φ = 6740548800480.

The previous prime is 10142411320189. The next prime is 10142411320247. The reversal of 10142411320233 is 33202311424101.

10142411320233 is a `hidden beast` number, since 1 + 0 + 1 + 42 + 411 + 3 + 202 + 3 + 3 = 666.

It is not a de Polignac number, because 10142411320233 - 240 = 9042899692457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10142411320197 and 10142411320206.

It is not an unprimeable number, because it can be changed into a prime (10142411320633) 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, 32820760 + ... + 33128342.

It is an arithmetic number, because the mean of its divisors is an integer number (612324385920).

Almost surely, 210142411320233 is an apocalyptic number.

It is an amenable number.

10142411320233 is a deficient number, since it is larger than the sum of its proper divisors (4553373941847).

10142411320233 is a wasteful number, since it uses less digits than its factorization.

10142411320233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318989 (or 318986 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10142411320233 its reverse (33202311424101), we get a palindrome (43344722744334).

The spelling of 10142411320233 in words is "ten trillion, one hundred forty-two billion, four hundred eleven million, three hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 331 993 2979 11069 33207 99621 307583 922749 2768247 3663839 10991517 32974551 101809973 305429919 916289757 3404636227 10213908681 30641726043 1126934591137 3380803773411 10142411320233