Search a number
-
+
10441122402033 = 3213143867201881
BaseRepresentation
bin1001011111110000001101…
…1001000100111011110001
31100222011100202212002110100
42113330003121010323301
52332031404313331113
634112330241023013
72125226514034251
oct227740331047361
940864322762410
1010441122402033
11336606743a744
121207686924a69
135a979424161b
142814d298d961
151318e6b31d73
hex97f03644ef1

10441122402033 has 24 divisors (see below), whose sum is σ = 15197169832416. Its totient is φ = 6907421102400.

The previous prime is 10441122402001. The next prime is 10441122402089. The reversal of 10441122402033 is 33020422114401.

10441122402033 is a `hidden beast` number, since 1 + 0 + 4 + 411 + 2 + 2 + 40 + 203 + 3 = 666.

It is not a de Polignac number, because 10441122402033 - 25 = 10441122402001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10441122401988 and 10441122402006.

It is not an unprimeable number, because it can be changed into a prime (10441122422033) by changing a digit.

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, 51618253 + ... + 51820133.

It is an arithmetic number, because the mean of its divisors is an integer number (633215409684).

Almost surely, 210441122402033 is an apocalyptic number.

It is an amenable number.

10441122402033 is a deficient number, since it is larger than the sum of its proper divisors (4756047430383).

10441122402033 is a wasteful number, since it uses less digits than its factorization.

10441122402033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245885 (or 245882 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10441122402033 its reverse (33020422114401), we get a palindrome (43461544516434).

The spelling of 10441122402033 in words is "ten trillion, four hundred forty-one billion, one hundred twenty-two million, four hundred two thousand, thirty-three".

Divisors: 1 3 9 131 393 1179 43867 131601 201881 394803 605643 1816929 5746577 17239731 26446411 51719193 79339233 238017699 8855913827 26567741481 79703224443 1160124711337 3480374134011 10441122402033