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11412131355 = 325897094019
BaseRepresentation
bin10101010000011011…
…10100111000011011
31002110022221100011200
422220031310320123
5141333001200410
65124225325243
7552542341662
oct125015647033
932408840150
1011412131355
11492693a219
122265a96823
1310cb425961
147a3911dd9
1546bd4c3c0
hex2a8374e1b

11412131355 has 48 divisors (see below), whose sum is σ = 20036484000. Its totient is φ = 6008099328.

The previous prime is 11412131351. The next prime is 11412131407. The reversal of 11412131355 is 55313121411.

11412131355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11412131355 - 22 = 11412131351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11412131351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2837536 + ... + 2841554.

It is an arithmetic number, because the mean of its divisors is an integer number (417426750).

Almost surely, 211412131355 is an apocalyptic number.

11412131355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11412131355 is a deficient number, since it is larger than the sum of its proper divisors (8624352645).

11412131355 is a wasteful number, since it uses less digits than its factorization.

11412131355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4825 counting only the distinct ones).

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

Adding to 11412131355 its reverse (55313121411), we get a palindrome (66725252766).

The spelling of 11412131355 in words is "eleven billion, four hundred twelve million, one hundred thirty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 45 89 267 445 709 801 1335 2127 3545 4005 4019 6381 10635 12057 20095 31905 36171 60285 63101 180855 189303 315505 357691 567909 946515 1073073 1788455 2839545 2849471 3219219 5365365 8548413 14247355 16096095 25645239 42742065 128226195 253602919 760808757 1268014595 2282426271 3804043785 11412131355