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11313600441 = 31113434713049
BaseRepresentation
bin10101000100101011…
…11101011110111001
31002012110112110011120
422202111331132321
5141132240203231
65110345415453
7550235005563
oct124225753671
932173473146
1011313600441
114886261510
122238a9a589
1310b3ba7a40
147947c4333
15463387d96
hex2a257d7b9

11313600441 has 64 divisors (see below), whose sum is σ = 18521395200. Its totient is φ = 6050096640.

The previous prime is 11313600439. The next prime is 11313600449. The reversal of 11313600441 is 14400631311.

It is not a de Polignac number, because 11313600441 - 21 = 11313600439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11313600449) 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, 860485 + ... + 873533.

It is an arithmetic number, because the mean of its divisors is an integer number (289396800).

Almost surely, 211313600441 is an apocalyptic number.

11313600441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11313600441 is a deficient number, since it is larger than the sum of its proper divisors (7207794759).

11313600441 is a wasteful number, since it uses less digits than its factorization.

11313600441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13166.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 11313600441 in words is "eleven billion, three hundred thirteen million, six hundred thousand, four hundred forty-one".

Divisors: 1 3 11 13 33 39 43 47 129 141 143 429 473 517 559 611 1419 1551 1677 1833 2021 6063 6149 6721 13049 18447 20163 22231 26273 39147 66693 78819 143539 169637 289003 430617 508911 561107 613303 867009 1683321 1839909 1866007 5598021 6172177 6746333 7294391 7972939 18516531 20238999 21883173 23918817 26372029 79116087 80238301 87702329 240714903 263106987 290092319 342836377 870276957 1028509131 3771200147 11313600441