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201312461 = 7297912553
BaseRepresentation
bin10111111111111…
…00100011001101
3112000210201210002
423333330203031
5403013444321
631550454045
74663061540
oct1377744315
9460721702
10201312461
11a36aa039
1257504325
13329267cc
141ca44857
1512a1820b
hexbffc8cd

201312461 has 16 divisors (see below), whose sum is σ = 241036800. Its totient is φ = 164481408.

The previous prime is 201312457. The next prime is 201312499. The reversal of 201312461 is 164213102.

It is not a de Polignac number, because 201312461 - 22 = 201312457 is a prime.

It is a super-3 number, since 3×2013124613 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201312401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9761 + ... + 22313.

It is an arithmetic number, because the mean of its divisors is an integer number (15064800).

Almost surely, 2201312461 is an apocalyptic number.

It is an amenable number.

201312461 is a deficient number, since it is larger than the sum of its proper divisors (39724339).

201312461 is a wasteful number, since it uses less digits than its factorization.

201312461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12668.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 201312461 is about 14188.4622493067. The cubic root of 201312461 is about 586.0799793378.

Adding to 201312461 its reverse (164213102), we get a palindrome (365525563).

The spelling of 201312461 in words is "two hundred one million, three hundred twelve thousand, four hundred sixty-one".

Divisors: 1 7 29 79 203 553 2291 12553 16037 87871 364037 991687 2548259 6941809 28758923 201312461