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11000311131 = 3232471391061
BaseRepresentation
bin10100011111010101…
…10110110101011011
31001101122000201000210
422033222312311123
5140012034424011
65015314502203
7536412046635
oct121752666533
931348021023
1011000311131
114735430627
12216bb94963
131064006154
14764d51a55
15445b016a6
hex28fab6d5b

11000311131 has 48 divisors (see below), whose sum is σ = 15786247680. Its totient is φ = 6809626560.

The previous prime is 11000311129. The next prime is 11000311139. The reversal of 11000311131 is 13111300011.

It is not a de Polignac number, because 11000311131 - 21 = 11000311129 is a prime.

It is a super-3 number, since 3×110003111313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11000311139) 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, 10367341 + ... + 10368401.

It is an arithmetic number, because the mean of its divisors is an integer number (328880160).

Almost surely, 211000311131 is an apocalyptic number.

11000311131 is a deficient number, since it is larger than the sum of its proper divisors (4785936549).

11000311131 is a wasteful number, since it uses less digits than its factorization.

11000311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11000311131 its reverse (13111300011), we get a palindrome (24111611142).

The spelling of 11000311131 in words is "eleven billion, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 23 47 69 139 141 417 529 1061 1081 1587 3183 3197 3243 6533 9591 19599 24403 24863 49867 73209 73531 74589 147479 149601 150259 220593 442437 450777 561269 1146941 1683807 3392017 3440823 3455957 6931513 10176051 10367871 20794539 26379643 78016391 79138929 159424799 234049173 478274397 3666770377 11000311131