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204052121 = 7213241601
BaseRepresentation
bin11000010100110…
…01011010011001
3112012221220212222
430022121122121
5404214131441
632125313425
75025262100
oct1412313231
9465856788
10204052121
11a5200419
1258405875
1333375800
141d159037
1512da9d4b
hexc299699

204052121 has 36 divisors (see below), whose sum is σ = 263737404. Its totient is φ = 157248000.

The previous prime is 204052109. The next prime is 204052129. The reversal of 204052121 is 121250402.

It can be written as a sum of positive squares in 6 ways, for example, as 44408896 + 159643225 = 6664^2 + 12635^2 .

It is not a de Polignac number, because 204052121 - 210 = 204051097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204052121.

It is not an unprimeable number, because it can be changed into a prime (204052129) 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 35 ways as a sum of consecutive naturals, for example, 339221 + ... + 339821.

It is an arithmetic number, because the mean of its divisors is an integer number (7326039).

Almost surely, 2204052121 is an apocalyptic number.

It is an amenable number.

204052121 is a deficient number, since it is larger than the sum of its proper divisors (59685283).

204052121 is a wasteful number, since it uses less digits than its factorization.

204052121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 204052121 is about 14284.6813405130. The cubic root of 204052121 is about 588.7266620753.

The spelling of 204052121 in words is "two hundred four million, fifty-two thousand, one hundred twenty-one".

Divisors: 1 7 13 41 49 91 169 287 533 601 637 1183 2009 3731 4207 6929 7813 8281 24641 26117 29449 48503 54691 101569 172487 320333 339521 382837 710983 1207409 2242331 4164329 4976881 15696317 29150303 204052121