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11101133241 = 331123270657
BaseRepresentation
bin10100101011010110…
…11101100110111001
31001122122201222222000
422111223131212321
5140213342230431
65033315451213
7542045034642
oct122553354671
931578658860
1011101133241
114787333790
1221998b6b09
13107bb76bc3
147744b86c9
1544e8b99e6
hex295add9b9

11101133241 has 48 divisors (see below), whose sum is σ = 18755459520. Its totient is φ = 6435348480.

The previous prime is 11101133209. The next prime is 11101133291. The reversal of 11101133241 is 14233110111.

It is a happy number.

It is not a de Polignac number, because 11101133241 - 25 = 11101133209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11101133291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121785 + ... + 192441.

It is an arithmetic number, because the mean of its divisors is an integer number (390738740).

Almost surely, 211101133241 is an apocalyptic number.

11101133241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101133241 is a deficient number, since it is larger than the sum of its proper divisors (7654326279).

11101133241 is a wasteful number, since it uses less digits than its factorization.

11101133241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70723 (or 70694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11101133241 its reverse (14233110111), we get a palindrome (25334243352).

The spelling of 11101133241 in words is "eleven billion, one hundred one million, one hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 529 621 759 1587 2277 4761 5819 6831 14283 17457 52371 70657 157113 211971 635913 777227 1625111 1907739 2331681 4875333 6995043 14625999 17876221 20985129 37377553 43877997 53628663 112132659 160885989 336397977 411153083 482657967 1009193931 1233459249 3700377747 11101133241