Search a number
-
+
1001023130333 = 17297327899973
BaseRepresentation
bin11101001000100011010…
…00001100101011011101
310112200211000121211110002
432210101220030223131
5112400043410132313
62043510315424045
7132215200134212
oct16442150145335
93480730554402
101001023130333
11356593507956
12142008755025
137351c243bc5
1436642295b09
151b08b4b6058
hexe911a0cadd

1001023130333 has 32 divisors (see below), whose sum is σ = 1111985301600. Its totient is φ = 896779247616.

The previous prime is 1001023130323. The next prime is 1001023130383. The reversal of 1001023130333 is 3330313201001.

It can be written as a sum of positive squares in 16 ways, for example, as 116825189209 + 884197941124 = 341797^2 + 940318^2 .

It is not a de Polignac number, because 1001023130333 - 224 = 1001006353117 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 (1001023130323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100368335 + ... + 100378307.

It is an arithmetic number, because the mean of its divisors is an integer number (34749540675).

Almost surely, 21001023130333 is an apocalyptic number.

It is an amenable number.

1001023130333 is a deficient number, since it is larger than the sum of its proper divisors (110962171267).

1001023130333 is a wasteful number, since it uses less digits than its factorization.

1001023130333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1001023130333 its reverse (3330313201001), we get a palindrome (4331336331334).

The spelling of 1001023130333 in words is "one trillion, one billion, twenty-three million, one hundred thirty thousand, three hundred thirty-three".

Divisors: 1 17 29 73 493 1241 2117 2789 9973 35989 47413 80881 169541 203597 289217 728029 1374977 3461149 4916689 5904313 12376493 21112841 27814697 100373321 358918297 472849849 806626213 2030472881 13712645621 34518038977 58883713549 1001023130333