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11312003241 = 347211259099
BaseRepresentation
bin10101000100011111…
…10111100010101001
31002012100112022020000
422202033313202221
5141131333100431
65110251253213
7550215304200
oct124217674251
932170468200
1011312003241
114885370510
12223844a209
1310b3768a56
147944ca237
1546316e9e6
hex2a23f78a9

11312003241 has 60 divisors (see below), whose sum is σ = 21444152400. Its totient is φ = 5876342640.

The previous prime is 11312003231. The next prime is 11312003257. The reversal of 11312003241 is 14230021311.

It is not a de Polignac number, because 11312003241 - 26 = 11312003177 is a prime.

It is a super-2 number, since 2×113120032412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11312003231) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85891 + ... + 173208.

It is an arithmetic number, because the mean of its divisors is an integer number (357402540).

Almost surely, 211312003241 is an apocalyptic number.

11312003241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11312003241 is a deficient number, since it is larger than the sum of its proper divisors (10132149159).

11312003241 is a wasteful number, since it uses less digits than its factorization.

11312003241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259136 (or 259120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11312003241 its reverse (14230021311), we get a palindrome (25542024552).

The spelling of 11312003241 in words is "eleven billion, three hundred twelve million, three thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 297 441 539 567 693 891 1323 1617 2079 3969 4851 6237 14553 43659 259099 777297 1813693 2331891 2850089 5441079 6995673 8550267 12695851 16323237 19950623 20987019 25650801 38087553 48969711 59851869 76952403 114262659 139654361 146909133 179555607 230857209 342787977 418963083 538666821 1028363931 1256889249 1616000463 3770667747 11312003241