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200303212329 = 321125311932909
BaseRepresentation
bin1011101010001100000…
…0000111011100101001
3201011000110211110121200
42322203000013130221
511240210110243304
6232003520554413
720320462132653
oct2724300073451
9634013743550
10200303212329
1177a47a3a100
12329a1182a09
1315b720a315c
1499a248d6d3
155324db9e39
hex2ea3007729

200303212329 has 72 divisors (see below), whose sum is σ = 324403901640. Its totient is φ = 118964651520.

The previous prime is 200303212313. The next prime is 200303212381. The reversal of 200303212329 is 923212303002.

200303212329 is a `hidden beast` number, since 20 + 0 + 303 + 2 + 12 + 329 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87114703104 + 113188509225 = 295152^2 + 336435^2 .

It is not a de Polignac number, because 200303212329 - 24 = 200303212313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200303212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68854927 + ... + 68857835.

It is an arithmetic number, because the mean of its divisors is an integer number (4505609745).

Almost surely, 2200303212329 is an apocalyptic number.

It is an amenable number.

200303212329 is a deficient number, since it is larger than the sum of its proper divisors (124100689311).

200303212329 is a wasteful number, since it uses less digits than its factorization.

200303212329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 200303212329 in words is "two hundred billion, three hundred three million, two hundred twelve thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 33 53 99 121 159 363 477 583 1089 1193 1749 2909 3579 5247 6413 8727 10737 13123 19239 26181 31999 39369 57717 63229 95997 118107 144353 154177 189687 287991 351989 433059 462531 569061 695519 1055967 1299177 1387593 1695947 2086557 3167901 3470437 5087841 6259671 7650709 10411311 15263523 18655417 22952127 31233933 38174807 55966251 68856381 114524421 167898753 183933161 343573263 419922877 551799483 1259768631 1655398449 2023264771 3779305893 6069794313 18209382939 22255912481 66767737443 200303212329