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10033131114341 = 372635153200087
BaseRepresentation
bin1001001000000000010100…
…1101110100111101100101
31022112011021011021020121022
42102000011031310331211
52303340323031124331
633201053511500525
72053604225230346
oct222000515647545
938464234236538
1010033131114341
113219032a50655
1211605a3387745
1357a1741208aa
1426986b3500cd
15125eb88ae67b
hex92005374f65

10033131114341 has 16 divisors (see below), whose sum is σ = 10345535633664. Its totient is φ = 9722911855104.

The previous prime is 10033131114319. The next prime is 10033131114343. The reversal of 10033131114341 is 14341113133001.

It is a cyclic number.

It is not a de Polignac number, because 10033131114341 - 230 = 10032057372517 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10033131114341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033131114343) 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 15 ways as a sum of consecutive naturals, for example, 50043800 + ... + 50243886.

It is an arithmetic number, because the mean of its divisors is an integer number (646595977104).

Almost surely, 210033131114341 is an apocalyptic number.

It is an amenable number.

10033131114341 is a deficient number, since it is larger than the sum of its proper divisors (312404519323).

10033131114341 is a wasteful number, since it uses less digits than its factorization.

10033131114341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205540.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 10033131114341 its reverse (14341113133001), we get a palindrome (24374244247342).

The spelling of 10033131114341 in words is "ten trillion, thirty-three billion, one hundred thirty-one million, one hundred fourteen thousand, three hundred forty-one".

Divisors: 1 37 263 5153 9731 190661 200087 1355239 7403219 50143843 52622881 1031048311 1947046597 38148787507 271165705793 10033131114341