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200333110010013 = 323710120532901337
BaseRepresentation
bin101101100011001110101111…
…110110111110000010011101
3222021022122202212212212101200
4231203032233312332002131
5202224224202130310023
61550023432113030113
760124406135554461
oct5543165766760235
9867278685785350
10200333110010013
1158917881a22192
121a575a95255339
1387a243c8a3b96
1437682622524a1
1518261cd3eb743
hexb633afdbe09d

200333110010013 has 48 divisors (see below), whose sum is σ = 300279639721776. Its totient is φ = 128596495795200.

The previous prime is 200333110009969. The next prime is 200333110010027. The reversal of 200333110010013 is 310010011333002.

It is a happy number.

200333110010013 is a `hidden beast` number, since 200 + 333 + 110 + 0 + 10 + 0 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6101976967524 + 194231133042489 = 2470218^2 + 13936683^2 .

It is not a de Polignac number, because 200333110010013 - 216 = 200333109944477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200333110710013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67597881 + ... + 70499217.

It is an arithmetic number, because the mean of its divisors is an integer number (6255825827537).

Almost surely, 2200333110010013 is an apocalyptic number.

It is an amenable number.

200333110010013 is a deficient number, since it is larger than the sum of its proper divisors (99946529711763).

200333110010013 is a wasteful number, since it uses less digits than its factorization.

200333110010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903534 (or 2903531 counting only the distinct ones).

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

Adding to 200333110010013 its reverse (310010011333002), we get a palindrome (510343121343015).

The spelling of 200333110010013 in words is "two hundred trillion, three hundred thirty-three billion, one hundred ten million, ten thousand, thirteen".

Divisors: 1 3 9 37 101 111 303 333 909 2053 3737 6159 11211 18477 33633 75961 207353 227883 622059 683649 1866177 2901337 7672061 8704011 23016183 26112033 69048549 107349469 293035037 322048407 879105111 966145221 2637315333 5956444861 10842296369 17869334583 32526889107 53608003749 97580667321 220388459857 601600930961 661165379571 1804802792883 1983496138713 5414408378649 22259234445557 66777703336671 200333110010013