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202682133 = 32157191751
BaseRepresentation
bin11000001010010…
…10111100010101
3112010101022121200
430011022330111
5403341312013
632040103113
75010525003
oct1405127425
9463338550
10202682133
11a44550a5
1257a64a99
1332cb6074
141ccbda73
1512bd8e73
hexc14af15

202682133 has 24 divisors (see below), whose sum is σ = 296564736. Its totient is φ = 133380000.

The previous prime is 202682107. The next prime is 202682153. The reversal of 202682133 is 331286202.

It is not a de Polignac number, because 202682133 - 212 = 202678037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202682097 and 202682106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202682153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269508 + ... + 270258.

It is an arithmetic number, because the mean of its divisors is an integer number (12356864).

Almost surely, 2202682133 is an apocalyptic number.

It is an amenable number.

202682133 is a deficient number, since it is larger than the sum of its proper divisors (93882603).

202682133 is a wasteful number, since it uses less digits than its factorization.

202682133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 202682133 is about 14236.6475337419. The cubic root of 202682133 is about 587.4061493665.

The spelling of 202682133 in words is "two hundred two million, six hundred eighty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 157 191 471 573 751 1413 1719 2253 6759 29987 89961 117907 143441 269883 353721 430323 1061163 1290969 22520237 67560711 202682133