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11314215 = 3351119401
BaseRepresentation
bin101011001010…
…010000100111
3210021211012000
4223022100213
510344023330
61042300343
7165112023
oct53122047
923254160
1011314215
1164285a0
1239576b3
132461b03
141707383
15ed7560
hexaca427

11314215 has 64 divisors (see below), whose sum is σ = 23155200. Its totient is φ = 5184000.

The previous prime is 11314213. The next prime is 11314217. The reversal of 11314215 is 51241311.

It is an interprime number because it is at equal distance from previous prime (11314213) and next prime (11314217).

It is not a de Polignac number, because 11314215 - 21 = 11314213 is a prime.

It is a super-2 number, since 2×113142152 = 256022922132450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28015 + ... + 28415.

It is an arithmetic number, because the mean of its divisors is an integer number (361800).

Almost surely, 211314215 is an apocalyptic number.

11314215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11314215 is an abundant number, since it is smaller than the sum of its proper divisors (11840985).

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

11314215 is a wasteful number, since it uses less digits than its factorization.

11314215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 11314215 is about 3363.6609519986. The cubic root of 11314215 is about 224.4957596962.

Adding to 11314215 its reverse (51241311), we get a palindrome (62555526).

The spelling of 11314215 in words is "eleven million, three hundred fourteen thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 95 99 135 165 171 209 285 297 401 495 513 627 855 1045 1203 1485 1881 2005 2565 3135 3609 4411 5643 6015 7619 9405 10827 13233 18045 22055 22857 28215 38095 39699 54135 66165 68571 83809 114285 119097 198495 205713 251427 342855 419045 595485 754281 1028565 1257135 2262843 3771405 11314215