Search a number
-
+
1033130203011 = 3317101208110709
BaseRepresentation
bin11110000100010110101…
…10111101011110000011
310122202200121202010011000
433002023112331132003
5113411322312444021
62110340301423043
7134432633555124
oct17021326753603
93582617663130
101033130203011
1136916a07a865
1214828926aa83
137656800216a
143800a4ac04b
151bd1a0a2b26
hexf08b5bd783

1033130203011 has 64 divisors (see below), whose sum is σ = 1637581276800. Its totient is φ = 641452032000.

The previous prime is 1033130202997. The next prime is 1033130203031. The reversal of 1033130203011 is 1103020313301.

It is a happy number.

1033130203011 is a `hidden beast` number, since 1 + 0 + 331 + 30 + 2 + 0 + 301 + 1 = 666.

It is not a de Polignac number, because 1033130203011 - 29 = 1033130202499 is a prime.

It is a super-2 number, since 2×10331302030112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1033130203031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96467725 + ... + 96478433.

It is an arithmetic number, because the mean of its divisors is an integer number (25587207450).

Almost surely, 21033130203011 is an apocalyptic number.

1033130203011 is a deficient number, since it is larger than the sum of its proper divisors (604451073789).

1033130203011 is a wasteful number, since it uses less digits than its factorization.

1033130203011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1033130203011 its reverse (1103020313301), we get a palindrome (2136150516312).

The spelling of 1033130203011 in words is "one trillion, thirty-three billion, one hundred thirty million, two hundred three thousand, eleven".

Divisors: 1 3 9 17 27 51 101 153 303 459 909 1717 2081 2727 5151 6243 10709 15453 18729 32127 35377 46359 56187 96381 106131 182053 210181 289143 318393 546159 630543 955179 1081609 1638477 1891629 3244827 3573077 4915431 5674887 9734481 10719231 18387353 22285429 29203443 32157693 55162059 66856287 96473079 165486177 200568861 378852293 496458531 601706583 1136556879 2250828329 3409670637 6752484987 10229011911 20257454961 38264081593 60772364883 114792244779 344376734337 1033130203011