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11255331114 = 2322953735573
BaseRepresentation
bin10100111101101111…
…01011100100101010
31002001101220001200100
422132313223210222
5141022331043424
65100504450230
7545626510266
oct123667534452
932041801610
1011255331114
114856382945
122221479976
1310a4ab5751
1478ab770a6
1545d1c7dc9
hex29edeb92a

11255331114 has 96 divisors (see below), whose sum is σ = 26060233680. Its totient is φ = 3504743424.

The previous prime is 11255331103. The next prime is 11255331119. The reversal of 11255331114 is 41113355211.

11255331114 is a `hidden beast` number, since 1 + 12 + 5 + 533 + 1 + 114 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4204874025 + 7050457089 = 64845^2 + 83967^2 .

It is not an unprimeable number, because it can be changed into a prime (11255331119) 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, 2016832 + ... + 2022404.

Almost surely, 211255331114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11255331114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030116840).

11255331114 is an abundant number, since it is smaller than the sum of its proper divisors (14804902566).

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

11255331114 is a wasteful number, since it uses less digits than its factorization.

11255331114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5733 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

Adding to 11255331114 its reverse (41113355211), we get a palindrome (52368686325).

The spelling of 11255331114 in words is "eleven billion, two hundred fifty-five million, three hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 29 53 58 73 87 106 146 159 174 219 261 318 438 477 522 657 954 1314 1537 2117 3074 3869 4234 4611 5573 6351 7738 9222 11146 11607 12702 13833 16719 19053 23214 27666 33438 34821 38106 50157 69642 100314 112201 161617 224402 295369 323234 336603 406829 484851 590738 673206 813658 886107 969702 1009809 1220487 1454553 1772214 2019618 2440974 2658321 2909106 3661461 5316642 7322922 8565701 11798041 17131402 21561937 23596082 25697103 35394123 43123874 51394206 64685811 70788246 77091309 106182369 129371622 154182618 194057433 212364738 388114866 625296173 1250592346 1875888519 3751777038 5627665557 11255331114