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11315241 = 3371923137
BaseRepresentation
bin101011001010…
…100000101001
3210021212121000
4223022200221
510344041431
61042305213
7165115020
oct53124051
923255530
1011315241
116429343
123958209
132462412
1417078b7
15ed79e6
hexaca829

11315241 has 64 divisors (see below), whose sum is σ = 21196800. Its totient is φ = 5816448.

The previous prime is 11315237. The next prime is 11315267. The reversal of 11315241 is 14251311.

11315241 = 1812 + 1822 + ... + 3412.

11315241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11315241 - 22 = 11315237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11315201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82525 + ... + 82661.

It is an arithmetic number, because the mean of its divisors is an integer number (331200).

Almost surely, 211315241 is an apocalyptic number.

It is an amenable number.

11315241 is a deficient number, since it is larger than the sum of its proper divisors (9881559).

11315241 is a wasteful number, since it uses less digits than its factorization.

11315241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

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

The square root of 11315241 is about 3363.8134609398. The cubic root of 11315241 is about 224.5025454281.

Adding to 11315241 its reverse (14251311), we get a palindrome (25566552).

The spelling of 11315241 in words is "eleven million, three hundred fifteen thousand, two hundred forty-one".

Divisors: 1 3 7 9 19 21 23 27 57 63 69 133 137 161 171 189 207 399 411 437 483 513 621 959 1197 1233 1311 1449 2603 2877 3059 3151 3591 3699 3933 4347 7809 8631 9177 9453 11799 18221 22057 23427 25893 27531 28359 54663 59869 66171 70281 82593 85077 163989 179607 198513 419083 491967 538821 595539 1257249 1616463 3771747 11315241