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204120315 = 32571494349
BaseRepresentation
bin11000010101010…
…10000011111011
3112020002101102200
430022222003323
5404223322230
632131001243
75025664650
oct1412520373
9466071380
10204120315
11a5247683
1258439223
133339a869
141d175c27
1512dc0160
hexc2aa0fb

204120315 has 48 divisors (see below), whose sum is σ = 407160000. Its totient is φ = 92664576.

The previous prime is 204120313. The next prime is 204120347. The reversal of 204120315 is 513021402.

204120315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204120315 - 21 = 204120313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204120313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44761 + ... + 49109.

It is an arithmetic number, because the mean of its divisors is an integer number (8482500).

Almost surely, 2204120315 is an apocalyptic number.

204120315 is a deficient number, since it is larger than the sum of its proper divisors (203039685).

204120315 is a wasteful number, since it uses less digits than its factorization.

204120315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 204120315 is about 14287.0681037083. The cubic root of 204120315 is about 588.7922387103.

Adding to 204120315 its reverse (513021402), we get a palindrome (717141717).

The spelling of 204120315 in words is "two hundred four million, one hundred twenty thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 149 315 447 745 1043 1341 2235 3129 4349 5215 6705 9387 13047 15645 21745 30443 39141 46935 65235 91329 152215 195705 273987 456645 648001 1369935 1944003 3240005 4536007 5832009 9720015 13608021 22680035 29160045 40824063 68040105 204120315