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202120041141 = 32415417101117
BaseRepresentation
bin1011110000111101001…
…0110001001010110101
3201022201002111221012200
42330033102301022311
511302420212304031
6232504101535113
720413503000654
oct2741722611265
9638632457180
10202120041141
117879a548517
1233209714499
13160a16060a5
149ad58a719b
1553ce6498e6
hex2f0f4b12b5

202120041141 has 24 divisors (see below), whose sum is σ = 299130098904. Its totient is φ = 131434621440.

The previous prime is 202120041133. The next prime is 202120041173. The reversal of 202120041141 is 141140021202.

202120041141 is a `hidden beast` number, since 2 + 0 + 212 + 0 + 0 + 411 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7752802500 + 194367238641 = 88050^2 + 440871^2 .

It is not a de Polignac number, because 202120041141 - 23 = 202120041133 is a prime.

It is a super-3 number, since 3×2021200411413 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120041121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1948315 + ... + 2049431.

It is an arithmetic number, because the mean of its divisors is an integer number (12463754121).

Almost surely, 2202120041141 is an apocalyptic number.

It is an amenable number.

202120041141 is a deficient number, since it is larger than the sum of its proper divisors (97010057763).

202120041141 is a wasteful number, since it uses less digits than its factorization.

202120041141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106581 (or 106578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202120041141 its reverse (141140021202), we get a palindrome (343260062343).

The spelling of 202120041141 in words is "two hundred two billion, one hundred twenty million, forty-one thousand, one hundred forty-one".

Divisors: 1 3 9 41 123 369 5417 16251 48753 101117 222097 303351 666291 910053 1998873 4145797 12437391 37312173 547750789 1643252367 4929757101 22457782349 67373347047 202120041141