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201331314 = 23212139221
BaseRepresentation
bin11000000000000…
…01001001110010
3112000211200122100
430000001021302
5403020100224
631551121230
74663200522
oct1400011162
9460750570
10201331314
11a3712218
1257513216
1332932272
141ca4b682
1512a1dac9
hexc001272

201331314 has 24 divisors (see below), whose sum is σ = 436624812. Its totient is φ = 67047840.

The previous prime is 201331271. The next prime is 201331321. The reversal of 201331314 is 413133102.

201331314 is a `hidden beast` number, since 20 + 1 + 331 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200930625 + 400689 = 14175^2 + 633^2 .

It is a super-3 number, since 3×2013313143 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17224 + ... + 26444.

Almost surely, 2201331314 is an apocalyptic number.

201331314 is an abundant number, since it is smaller than the sum of its proper divisors (235293498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201331314 is a wasteful number, since it uses less digits than its factorization.

201331314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 201331314 is about 14189.1266115995. The cubic root of 201331314 is about 586.0982743155.

Adding to 201331314 its reverse (413133102), we get a palindrome (614464416).

The spelling of 201331314 in words is "two hundred one million, three hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 1213 2426 3639 7278 9221 10917 18442 21834 27663 55326 82989 165978 11185073 22370146 33555219 67110438 100665657 201331314