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412004201 = 72139241251
BaseRepresentation
bin11000100011101…
…010111101101001
31001201020222111212
4120203222331221
51320433113301
6104514402505
713131656300
oct3043527551
91051228455
10412004201
111a1624944
12b5b90435
136748548b
143ca0b437
15262854bb
hex188eaf69

412004201 has 24 divisors (see below), whose sum is σ = 486652320. Its totient is φ = 347760000.

The previous prime is 412004183. The next prime is 412004261. The reversal of 412004201 is 102400214.

It is a de Polignac number, because none of the positive numbers 2k-412004201 is a prime.

It is a super-3 number, since 3×4120042013 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (412004261) 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, 1641326 + ... + 1641576.

It is an arithmetic number, because the mean of its divisors is an integer number (20277180).

Almost surely, 2412004201 is an apocalyptic number.

It is an amenable number.

412004201 is a deficient number, since it is larger than the sum of its proper divisors (74648119).

412004201 is a wasteful number, since it uses less digits than its factorization.

412004201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 412004201 is about 20297.8866141281. The cubic root of 412004201 is about 744.1044151687.

Adding to 412004201 its reverse (102400214), we get a palindrome (514404415).

The spelling of 412004201 in words is "four hundred twelve million, four thousand, two hundred one".

Divisors: 1 7 49 139 241 251 973 1687 1757 6811 11809 12299 33499 34889 60491 234493 244223 423437 1641451 1709561 2964059 8408249 58857743 412004201