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201414221320 = 23513387335041
BaseRepresentation
bin1011101110010100111…
…0010001111000001000
3201020212220101120102211
42323211032101320020
511244444020040240
6232310045434504
720360142430144
oct2734516217010
9636786346384
10201414221320
1178468093654
123305126ba34
1315cbb309a20
149a69c56224
15538c6c7bea
hex2ee5391e08

201414221320 has 32 divisors (see below), whose sum is σ = 488042152920. Its totient is φ = 74368327680.

The previous prime is 201414221317. The next prime is 201414221321. The reversal of 201414221320 is 23122414102.

It can be written as a sum of positive squares in 4 ways, for example, as 88790888484 + 112623332836 = 297978^2 + 335594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201414221291 and 201414221300.

It is not an unprimeable number, because it can be changed into a prime (201414221321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193667001 + ... + 193668040.

Almost surely, 2201414221320 is an apocalyptic number.

201414221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201414221320 is an abundant number, since it is smaller than the sum of its proper divisors (286627931600).

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

201414221320 is a wasteful number, since it uses less digits than its factorization.

201414221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387335065 (or 387335061 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 201414221320 its reverse (23122414102), we get a palindrome (224536635422).

The spelling of 201414221320 in words is "two hundred one billion, four hundred fourteen million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 387335041 774670082 1549340164 1936675205 3098680328 3873350410 5035355533 7746700820 10070711066 15493401640 20141422132 25176777665 40282844264 50353555330 100707110660 201414221320