Search a number
-
+
10321112240101 = 134491768222073
BaseRepresentation
bin1001011000110001001000…
…1110101000111111100101
31100112200121001120012102001
42112030102032220333211
52323100114213140401
633541241542445301
72113450532346235
oct226142216507745
940480531505361
1010321112240101
11331a182874833
1211a8373733831
1359b379c09aa0
1427978a15dcc5
1512d720d20601
hex963123a8fe5

10321112240101 has 8 divisors (see below), whose sum is σ = 11139799066200. Its totient is φ = 9505961859072.

The previous prime is 10321112240071. The next prime is 10321112240119. The reversal of 10321112240101 is 10104221112301.

10321112240101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 55502648100 + 10265609592001 = 235590^2 + 3203999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10321112240101 - 27 = 10321112239973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321112240401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884105200 + ... + 884116873.

It is an arithmetic number, because the mean of its divisors is an integer number (1392474883275).

Almost surely, 210321112240101 is an apocalyptic number.

It is an amenable number.

10321112240101 is a deficient number, since it is larger than the sum of its proper divisors (818686826099).

10321112240101 is a wasteful number, since it uses less digits than its factorization.

10321112240101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768222535.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10321112240101 its reverse (10104221112301), we get a palindrome (20425333352402).

The spelling of 10321112240101 in words is "ten trillion, three hundred twenty-one billion, one hundred twelve million, two hundred forty thousand, one hundred one".

Divisors: 1 13 449 5837 1768222073 22986886949 793931710777 10321112240101