Search a number
-
+
200240134122033 = 33137102115301497
BaseRepresentation
bin101101100001111000001010…
…000100000110101000110001
3222020222202210020100101102000
4231201320022010012220301
5202221213243313401113
61545513014145044213
760114605122551615
oct5541701204065061
9866882706311360
10200240134122033
115889140050a445
121a55ba67926669
138796743390355
143763962027345
151823a8ab90373
hexb61e0a106a31

200240134122033 has 32 divisors (see below), whose sum is σ = 298846714619520. Its totient is φ = 132506015143680.

The previous prime is 200240134122011. The next prime is 200240134122059. The reversal of 200240134122033 is 330221431042002.

200240134122033 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 40 + 1 + 3 + 412 + 203 + 3 = 666.

It is not a de Polignac number, because 200240134122033 - 26 = 200240134121969 is a prime.

It is a super-2 number, since 2×2002401341220332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200240134121988 and 200240134122006.

It is not an unprimeable number, because it can be changed into a prime (200240134122433) 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, 35119741 + ... + 40421237.

It is an arithmetic number, because the mean of its divisors is an integer number (9338959831860).

Almost surely, 2200240134122033 is an apocalyptic number.

It is an amenable number.

200240134122033 is a deficient number, since it is larger than the sum of its proper divisors (98606580497487).

200240134122033 is a wasteful number, since it uses less digits than its factorization.

200240134122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311854 (or 5311848 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 200240134122033 its reverse (330221431042002), we get a palindrome (530461565164035).

The spelling of 200240134122033 in words is "two hundred trillion, two hundred forty billion, one hundred thirty-four million, one hundred twenty-two thousand, thirty-three".

Divisors: 1 3 9 27 137 411 1233 3699 10211 30633 91899 275697 1398907 4196721 5301497 12590163 15904491 37770489 47713473 143140419 726305089 2178915267 6536745801 19610237403 54133585867 162400757601 487202272803 1461606818409 7416301263779 22248903791337 66746711374011 200240134122033