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202133001141 = 3281912741939
BaseRepresentation
bin1011110001000000010…
…0001101001110110101
3201022201222220100222200
42330100010031032311
511302432022014031
6232505243415113
720414021106141
oct2742004151665
9638658810880
10202133001141
11787a689a565
1233211b24499
13160a41c3026
149ad74bc221
1553d08598e6
hex2f1010d3b5

202133001141 has 12 divisors (see below), whose sum is σ = 292005642240. Its totient is φ = 134738833320.

The previous prime is 202133001137. The next prime is 202133001149. The reversal of 202133001141 is 141100331202.

It is not a de Polignac number, because 202133001141 - 22 = 202133001137 is a prime.

It is a super-3 number, since 3×2021330011413 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202133001149) 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 11 ways as a sum of consecutive naturals, for example, 1297251 + ... + 1444688.

It is an arithmetic number, because the mean of its divisors is an integer number (24333803520).

Almost surely, 2202133001141 is an apocalyptic number.

It is an amenable number.

202133001141 is a deficient number, since it is larger than the sum of its proper divisors (89872641099).

202133001141 is a wasteful number, since it uses less digits than its factorization.

202133001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750136 (or 2750133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202133001141 its reverse (141100331202), we get a palindrome (343233332343).

The spelling of 202133001141 in words is "two hundred two billion, one hundred thirty-three million, one thousand, one hundred forty-one".

Divisors: 1 3 9 8191 24573 73719 2741939 8225817 24677451 22459222349 67377667047 202133001141