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201312813 = 31323224429
BaseRepresentation
bin10111111111111…
…00101000101101
3112000210202021010
423333330220231
5403014002223
631550455433
74663062552
oct1377745055
9460722233
10201312813
11a36aa329
1257504579
1332926a10
141ca44a29
1512a18393
hexbffca2d

201312813 has 16 divisors (see below), whose sum is σ = 301633920. Its totient is φ = 118497984.

The previous prime is 201312803. The next prime is 201312817. The reversal of 201312813 is 318213102.

It is not a de Polignac number, because 201312813 - 25 = 201312781 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 201312813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201312817) 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, 111318 + ... + 113111.

It is an arithmetic number, because the mean of its divisors is an integer number (18852120).

Almost surely, 2201312813 is an apocalyptic number.

201312813 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

201312813 is a deficient number, since it is larger than the sum of its proper divisors (100321107).

201312813 is a wasteful number, since it uses less digits than its factorization.

201312813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224468.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 201312813 is about 14188.4746537463. The cubic root of 201312813 is about 586.0803209296.

Adding to 201312813 its reverse (318213102), we get a palindrome (519525915).

The spelling of 201312813 in words is "two hundred one million, three hundred twelve thousand, eight hundred thirteen".

Divisors: 1 3 13 23 39 69 299 897 224429 673287 2917577 5161867 8752731 15485601 67104271 201312813